List of citations

Note that self-citations and co-author self-citations are excluded.

• [pdf, doi] Ideal convergence of bounded sequences, J. Symbolic Logic 72 (2007), no. 2, 501--512 (with N. Mrożek, I. Recław and P. Szuca)
  1. [arXiv] J. Lopez-Abad, V. Olmos-Prieto, C. Uzcátegui-Aylwin, F_σ-ideals, colorings, and representation in Banach spaces, arXiv:2501.15643
  2. [arXiv] H. Behmanush, M. Kucukaslan, Some properties of I*-sequential topological space, arXiv:2305.19647.
  3. [doi, arXiv] T. Żuchowski, The Nikodym property and filters on ω, Arch. Math. Logic (2025)
  4. [doi] K. Kowitz, A. Kwela, Ultrafilters and the Katětov order, Topology Appl. 361 (2025), Paper No. 109191.
  5. [doi, arXiv] M. Rincón-Villamizar, C. Uzcátegui Aylwin Banach spaces of I-convergent sequences, J. Math. Anal. Appl. 536 (2024), no. 2, Paper No. 128271, 19 pp.
  6. [doi] M. Kwela, Some properties of the ideal of nowhere dense sets in the common division topology, Acta Math. Hungar. 174, 299–311 (2024)
  7. [doi] P. Klinga, A. Nowik, On some properties of Lévy vectors and their variations, Lith Math J 63, 181–189 (2023)
  8. [arxiv, doi] A. Kwela, Unboring ideals, Fund. Math. 261 (2023), 235-272
  9. [doi] H. Zhang, J. He, S. Zhang, Splitting positive sets, Sci. China Math. (2023)
  10. [pdf, doi] M. Singha, U. K. Hom, Variant of thin sets and their influence in convergence, Filomat 37:17 (2023), 5847–5858
  11. [doi, pdf] A. Kwela, On extendability to 𝐹_𝜎 ideals, Arch. Math. Logic (2022).
  12. [doi, arXiv] A. Kwela, P. Leonetti, Density-like and generalized density ideals. J. Symb. Log. 87 (2022), no. 1, 228–251.
  13. [doi] X. He, H. Zhang, S. Zhanga, The Borel complexity of ideal limit points. Topology Appl. 312 (2022), Paper No. 108061, 12 pp.
  14. [doi] K. Kowitz, Differentially compact spaces, Topology and its Applications, Volume 307, 2022, 107948,
  15. [doi] V. Khan, S. Abdullah, K. Alshlool, A study of Nörlund ideal convergent sequence spaces. Yugoslav Journal of Operations Research, 2021 OnLine-First
  16. [doi] J. Tryba, Different kinds of density ideals. J. Math. Anal. Appl. (2021), 124930.
  17. [doi] S. Lin, On I-neighborhood spaces and I-quotient spaces. Bull. Malays. Math. Sci. Soc. 44 (2021), no. 4, 1979–2004.
  18. [doi, pdf] J. Yu, S. Zhang, MAD Families, P+(I)-Ideals and Ideal Convergence, Filomat 34:9 (2020), 3099–3108
  19. [doi] K. Bose, P. Das, S. Sengupta, On spliced sequences and the density of points with respect to a matrix constructed by using a weight function. Ukraïn. Mat. Zh. 71 (2019), no. 9, 1192–1207; reprinted in Ukrainian Math. J. 71 (2020), no. 9, 1359–1378
  20. [doi] C. Uzcátegui Aylwin, Ideals on countable sets: a survey with questions. Rev. Integr. Temas Mat. 37 (2019), no. 1, 167–198.
  21. [doi, pdf] J. Yu, S. Zhang, Ideal Versions of the Bolzano-Weierstrass Property, Filomat 33:10 (2019), 2963–2973
  22. [doi] P. Leonetti, Limit points of subsequences. Topology Appl. 263 (2019), 221–229.
  23. [doi] P. Leonetti, F. Maccheroni, Characterizations of ideal cluster points. Analysis (Berlin) 39 (2019), no. 1, 19–26.
  24. [doi] M. Balcerzak, P. Leonetti, On the relationship between ideal cluster points and ideal limit points. Topology Appl. 252 (2019), 178–190.
  25. [doi] M. Kwela, A. Nowik, Ideals of nowhere dense sets in some topologies on positive integers. Topology Appl. 248 (2018), 149–163.
  26. [doi] J. Tryba, Weighted uniform density ideals. Math. Slovaca 68 (2018), no. 4, 717–726.
  27. [doi, pdf] P. Das, K. Bose, S. Sengupta, On IA-Density of Points and Some of its Consequences, Filomat 31 (2017), no. 20, 6585-6595.
  28. M. Balcerzak, M. Popławski, and A. Wachowicz, Ideal convergent subsequences and rearrangements for divergent sequences of functions, Math. Slovaca 67 (2017), no. 6, 1461–1468
  29. P. Klinga and A. Nowik, Extendability to summable ideals, Acta Math. Hungar. 152 (2017), no. 1, 150–160.
  30. M. Balcerzak, S. Głąb, and J. Swaczyna, Ideal invariant injections, J. Math. Anal. Appl. 445 (2017), no. 1, 423–442.
  31. [pdf] M. Balcerzak, M. Filipczak, Ideal convergence of sequences and some of its applications. Folia Math. 19 (2017), no. 1, 3–8.
  32. M. Balcerzak,S. Głąb, A. Wachowicz, Qualitative properties of ideal convergent subsequences and rearrangements, Acta Math. Hungar. 150 (2016), no. 2, 312–323.
  33. S. Głąb and M. Olczyk, Convergence of Series on Large Set of Indices, Math. Slovaca 65 (2015), no. 5, 1095-1106.
  34. A. Bartoszewicz, P. Das, and S. Głąb, On matrix summability of spliced sequences and A-density of points, Linear Algebra Appl. 487 (2015), 22-42.
  35. M. Balcerzak, P. Das, M. Filipczak, and J. Swaczyna, Generalized kinds of density and the associated ideals, Acta Math. Hungar. 147 (2015), no. 1, 97-115.
  36. P. Das, M. Sleziak, and V. Toma, I^K-Cauchy functions, Topology Appl. 173 (2014), 9-27.
  37. M. Balcerzak and K. Musiał, A convergence theorem for the Birkhoff integral, Funct. Approx. Comment. Math. 50 (2014), no. 1, 161-168.
  38. A. Boccuto and X. Dimitriou, Modes of ideal continuity of l-group-valued measures, Int. Math. Forum 8 (2013), no. 17-20, 841-849.
  39. [arXiv, pdf] J. L. Verner, Filter convergence in βω, AUC Philosophica et Historica, Miscellanea Logica IX 2 (2013), 87-90.
  40. B. Tsaban and L. Zdomskyy, Hereditarily Hurewicz spaces and Arhangelskii sheaf amalgamations, J. Eur. Math. Soc. (JEMS) 14 (2012), no. 2, 353-372.
  41. M. Macaj and M. Sleziak, I^K-convergence, Real Anal. Exchange 36 (2010/11), no. 1, 177-193.
  42. M. Hrusak, Combinatorics of filters and ideals, Set theory and its applications, Contemp. Math., vol. 533, Amer. Math. Soc., Providence, RI, 2011, pp. 29-69.
  43. L. Drewnowski and I. Labuda, Solid sequence F -spaces of L₀-type over submeasures on N, Illinois J. Math. 53 (2009), no. 2, 623-678.
  44. L. Matejicka, Some remarks on I-faster convergent infinite series, Math. Bohem. 134 (2009), no. 3, 275-284.
  45. L. Drewnowski and T. Łuczak, On nonatomic submeasures on N. II, J. Math. Anal. Appl. 347 (2008), no. 2, 442-449.
  46. D. Holy, L. Matejicka, and L. Pinda, On faster convergent infinite series, Int. J. Math. Math. Sci. (2008), Art. ID 753632, 8.
  47. [pdf, ps] D. Fremlin, Filters of countable type, Miscellaneous research notes, 2007
• [pdf, doi] Ideal convergence versus matrix summability, Studia Math. 245 (2019), no. 2, 101-127 (with J. Tryba)
  1. [arXiv] J. Keith, P. Leonetti, Completeness and additive property for submeasures, arXiv:2501.13615
  2. [doi, arXiv] T. Żuchowski, The Nikodym property and filters on ω, Arch. Math. Logic (2025)
  3. [doi, pdf] M. Listán-García, Ö. Kişi, M. Gürdal, New Perspectives on Generalised Lacunary Statistical Convergence of Multiset Sequences, Mathematics 2025, 13(1), 164
  4. [pdf, doi] C. Orhana, M. Gulfirata, Generalized limits and ideal convergence, Filomat 38:32 (2024), 11259–11267
  5. [doi, arXiv] W. Marciszewski, D. Sobota The Josefson-Nissenzweig theorem and filters on ω, Arch. Math. Logic 63, 773–812 (2024).
  6. [pdf] V. A. Khan, M. Arshad , On Neutrosophic Normed Spaces of I-Convergence Diference Sequences Defned by Modulus Function, Neutrosophic Sets and Systems, Vol. 73 (2024).
  7. [pdf] V. A. Khan, M. Arshad , On some properties of Nörlund ideal convergence of sequence in neutrosophic normed spaces, Italian Journal of Pure and Applied Mathematics, N. 50, 2023 (352–373)
  8. [arXiv, pdf] P. Leonetti, Core equality of real sequences, arXiv:2401.01136
  9. [arXiv, pdf] P. Leonetti, Strong universality, recurrence, and analytic P-ideals in dynamical systems, arXiv:2401.01131
  10. [arXiv, pdf] P. Das, A. Ghosh, When ideals properly extend the class of Arbault sets, arXiv:2401.02103
  11. [doi, pdf] V. A. Khan, Z. Rahman, Riesz I-convergent sequence spaces, Proyecciones, vol. 42, no. 6, pp. 1467-1487, Nov. 2023.
  12. [arXiv, pdf] S. Cerreia-Vioglio, P. Leonetti, F. Maccheroni, M. Marinacci, Capacities and Choquet Averages of Ultrafilters, arXiv:2307.16823
  13. [pdf] V. Khan, E. Savas, I. Khan, Z. Rahman, A study on Riesz I-convergence in intuitionistic fuzzy normed spaces, Ital. J. Pure Appl. Math., No. 49 (2023), 771-789
  14. [doi] P. Das, A. Ghosh, Eggleston’s dichotomy for characterized subgroups and the role of ideals, Ann. Pure Appl. Logic (2023), 103289
  15. [arxiv, pdf] P. Leonetti, Regular matrices of unbounded linear operators, arXiv:2201.13059.
  16. [doi] A.V. Khan, U. Tuba, Topological Properties of Jordan Intuitionistic Fuzzy Normed Spaces, Math. Slovaca 73 (2023), no. 2, 439–454
  17. [pdf, doi] V.A. Khan, I.A. Khan, S.A.A. Abdullah, K.M.A. Sulaiman Alshlool On intuitionistic fuzzy hilbert ideal convergent sequence spaces , Acta Scientiarum. Technology Vol 44 (2022),
  18. [doi] V.A. Khan, I.A. Khan, Spaces of intuitionistic fuzzy Nörlund I-convergent sequences, Afr. Mat. 33 (2022), no. 1, 18.
  19. [doi] P. Das, Ideals, Nonnegative Summability Matrices and Corresponding Convergence Notions: A Short Survey of Recent Advancements, Axioms 2022, 11(1).
  20. [doi] V.A. Khan, I.A. Khan, SK Rahaman, A. Ahmad, On Tribonacci I-convergent sequence spaces, Journal of Mathematics and Computer Science (2022); 24(3):225-234
  21. [pdf, doi] V.A. Khana, Z. Rahmana, K. Alshlool, On I–Convergent Sequence Spaces Defined By Jordan Totient Operator. Filomat 35:11 (2021), 3643–3652.
  22. [doi] V. Khan, U. Tuba, On paranormed Ideal convergent sequence spaces defined by Jordan totient function, J. Inequal. Appl.2021, 96.
  23. [doi, arXiv] J. Connor, P. Leonetti, A characterization of (I,J)-regular matrices, J. Math. Anal. Appl. 504 (2021), no. 1, Paper No. 125374, 10 pp.
  24. [doi] M. Balcerzak and P. Leonetti, A Tauberian theorem for ideal statistical convergence, Indag. Math. (N.S.) 31 (2020), no. 1, 83–95.
  25. [doi] F. León-Saavedra, M. del Pilar Romero de la Rosa, A. Sala, Orlicz-Pettis Theorem through Summability Methods, Mathematics 2019, 7(10), 895
  26. [doi] P. Leonetti, Continuous projections onto ideal convergent sequences, Results Math. 73 (2018), no. 3, Art. 114, 5 pp.
• [pdf, doi] Rearrangement of conditionally convergent series on a small set, J. Math. Anal. Appl. 362 (2010), no. 1, 64-71 (with P. Szuca)
  1. [arXiv] J. Lopez-Abad, V. Olmos-Prieto, C. Uzcátegui-Aylwin, F_σ-ideals, colorings, and representation in Banach spaces, arXiv:2501.15643
  2. [doi, arXiv] T. Żuchowski, The Nikodym property and filters on ω, Arch. Math. Logic (2025)
  3. [doi] M. Kwela, Rizza’s ideal and comparison of some known set-theoretic ideals from number theory and combinatorics, Period Math Hung (2025).
  4. [doi, arXiv] W. Marciszewski, D. Sobota The Josefson-Nissenzweig theorem and filters on ω, Arch. Math. Logic 63, 773–812 (2024).
  5. [doi] M. Kwela, Some properties of the ideal of nowhere dense sets in the common division topology, Acta Math. Hungar. 174, 299–311 (2024)
  6. [doi] P. Klinga, A. Nowik, On some properties of Lévy vectors and their variations, Lith Math J 63, 181–189 (2023)
  7. [doi] J. Tryba, Different kinds of density ideals. J. Math. Anal. Appl. (2021), 124930.
  8. [doi, arXiv, pdf] A. Bartoszewicz, W. Fechner, A. Świątczak, A. Widz, On the c0-equivalence and permutations of series, Ann. Funct. Anal. 12 (2021), no. 2, Paper No. 23, 10 pp.
  9. [doi, arXiv, pdf] M. Balcerzak, P. Leonetti, The Baire category of subsequences and permutations which preserve limit points. Results Math. 75 (2020), no. 4, Paper No. 171, 14 pp.
  10. [doi] C. Uzcátegui Aylwin, Ideals on countable sets: a survey with questions. Rev. Integr. Temas Mat. 37 (2019), no. 1, 167–198.
  11. [pdf, html] A. Losonczi, Points Accessible in average by rearrangement of sequences I, Transnational Journal of Mathematical Analysis and Applications 7 (2019), no. 1, 1-27.
  12. [pdf@WM, pdf@researchgate] I. Jóźwik, M. Terepeta, Polskie spojrzenie na twierdzenie Riemanna o tasowaniu, Wiad. Mat. 55 (2019), no. 1, 143-157
  13. [pdf] J. Marchwicki, Achievement sets and sum ranges with ideal supports. Filomat 32 (2018), no. 14, 4911–4922.
  14. [doi] M. Kwela, A. Nowik, Ideals of nowhere dense sets in some topologies on positive integers. Topology Appl. 248 (2018), 149–163.
  15. P. Klinga and A. Nowik, Extendability to summable ideals, Acta Math. Hungar. 152 (2017), no. 1, 150–160.
  16. [pdf] M. Balcerzak, M. Filipczak, Ideal convergence of sequences and some of its applications. Folia Math. 19 (2017), no. 1, 3–8.
  17. R. Wituła, Permutations preserving the convergence or the sum of series-a survey, Monograph on the occasion of 100th birthday anniversary of Zygmunt Zahorski, Wydaw. Politech. Śl., Gliwice, 2015, pp. 169-190.
  18. P. Borodulin-Nadzieja, B. Farkas, and G. Plebanek, Representations of ideals in Polish groups and in Banach spaces, J. Symb. Log. 80 (2015), no. 4, 1268-1289.
  19. P. Klinga, Rearranging series of vectors on a small set, J. Math. Anal. Appl. 424 (2015), no. 2, 966-974.
  20. R. Wituła, Certain multiplier version of the Riemann derangement theorem, Demonstr. Math. 47 (2014), no. 1, 125-129.
  21. R. Wituła, The Riemann derangement theorem and divergent permutations, Tatra Mt. Math. Publ. 52 (2012), 75-82.
  22. T. Bermudez and A. Martinon, Changes of signs in conditionally convergent series on a small set, Appl. Math. Lett. 24 (2011), no. 11, 1831-1834.
• [pdf, doi] Three kinds of convergence and the associated I-Baire classes, J. Math. Anal. Appl. 391 (2012), no. 1, 1-9 (with P. Szuca)
  1. [doi] A. Marton, P-Like Properties of Meager Ideals and Cardinal Invariants, Tatra Mountains Mathematical Publications, vol.85, no.3, 2023, pp.73-88
  2. [doi, pdf, arxiv] S. Bardyla, J. Šupina, L. Zdomskyy, Ideal approach to convergence in functional spaces, Trans. Amer. Math. Soc. 376 (2023), no. 12, 8495–8528.
  3. [arxiv, doi] A. Kwela, Unboring ideals, Fund. Math. 261 (2023), 235-272
  4. [doi, arXiv, pdf] A. Marton, J. Šupina, On P-like ideals induced by disjoint families, J. Math. Anal. Appl. 528 (2023), no. 2, Paper No. 127551, 23 pp.
  5. [pdf, doi] M. Liu, J. Yu, S. Zhang, More on Arhangel’skiı̌ Sheaf Amalgamations, Filomat 34:10 (2020), 3369–3380
  6. [arXiv, pdf ] P. Leonetti, Tauberian theorems for ordinary convergence, arXiv:2012.03311 [math.FA]
  7. [pdf, doi] J. Yu, S. Zhang, MAD Families, P+(I)-Ideals and Ideal Convergence, Filomat 34:9 (2020), 3099–3108
  8. [doi] P. Das, S. Sengupta, J. Šupina, I^K-convergence of sequences of functions. Math. Slovaca 69 (2019), no. 5, 1137–1148.
  9. [doi] T. Natkaniec, W. Sieg, Some unpublished Recław theorems and their applications to Baire-star-one functions. Turkish J. Math. 43 (2019), no. 3, 1148–1160.
  10. [doi] V. Šottová, J. Šupina, Principle S₁(P,R): ideals and functions. Topology Appl. 258 (2019), 282–304.
  11. M. Staniszewski, On ideal equal convergence II, J. Math. Anal. Appl. 451 (2017), no. 2, 1179–1197
  12. A. Kwela and M. Staniszewski, Ideal equal Baire classes. J. Math. Anal. Appl. 451 (2017), no. 2, 1133–1153
  13. M. Balcerzak, S. Głąb, and J. Swaczyna, Ideal invariant injections, J. Math. Anal. Appl. 445 (2017), no. 1, 423–442.
  14. [pdf] M. Balcerzak, M. Filipczak, Ideal convergence of sequences and some of its applications. Folia Math. 19 (2017), no. 1, 3–8.
  15. [doi] J. Šupina, Ideal QN-spaces, J. Math. Anal. Appl. 435 (2016), no. 1, 477-491.
  16. M. Balcerzak, P. Das, M. Filipczak, and J. Swaczyna, Generalized kinds of density and the associated ideals, Acta Math. Hungar. 147 (2015), no. 1, 97-115.
  17. [doi] A. Kwela, A note on a new ideal, J. Math. Anal. Appl. 430 (2015), no. 2, 932-949.
• [pdf, doi] On ideal equal convergence, Cent. Eur. J. Math., 12 (2014), no. 6, 896–910 (with M. Staniszewski)
  1. [arXiv, pdf] A. Marton, M. Repický, Relative cofinality of ideals, arXiv:2502.08506
  2. [arXiv, pdf] A. K. Banerjee, N. Hossain, On I and I^∗-equal convergence in linear 2-normed spaces, arXiv:2112.06022
  3. [doi, arXiv, pdf] A. Marton, J. Šupina, On P-like ideals induced by disjoint families, J. Math. Anal. Appl. 528 (2023), no. 2, Paper No. 127551, 23 pp.
  4. [doi] A. Marton, P-Like Properties of Meager Ideals and Cardinal Invariants, Tatra Mountains Mathematical Publications, vol.85, no.3, 2023, pp.73-88
  5. [doi, pdf] M. Repický, Spaces not distinguishing ideal convergences of real-valued functions, II. Real Anal. Exchange 46 (2021), no. 2, 395-422.
  6. [doi, pdf] M. Repický, Spaces not distinguishing ideal convergences of real-valued functions. Real Anal. Exchange 46 (2021), no. 2, 367-394.
  7. [doi] P. Das, S. Sengupta, Sz. Gła̧b, M. Bienias, Certain aspects of ideal convergence in topological spaces. Topology Appl. 275 (2020), 107005, 12 pp.
  8. [pdf, info] S. Sengupta, Some remarks on ideal equal Baire classes. Acta Math. Univ. Comenian. (N.S.) 89 (2020), no. 1, 9–18.
  9. [pdf, doi] S. Mohiuddinea, B. Hazarikab, M. Alghamdi, Ideal Relatively Uniform Convergence with Korovkin and Voronovskaya types Approximation Theorems. Filomat 33:14 (2019), 4549–4560
  10. [doi] P. Das, S. Sengupta, J. Šupina, I^K-convergence of sequences of functions. Math. Slovaca 69 (2019), no. 5, 1137–1148.
  11. [doi] V. Šottová, J. Šupina, Principle S₁(P,R): ideals and functions. Topology Appl. 258 (2019), 282–304.
  12. [doi] A. Kwela, Ideal weak QN-spaces, Topology Appl. 240 (2018), 98–115
  13. [doi] L. Bukovsky, P. Das J. Šupina, Ideal quasi-normal convergence and related notions. Colloq. Math. 146 (2017), no. 2, 265–281.
  14. [doi] L. X. Cheng, L. H. Lin, and X. G. Zhou, Statistical convergence and measure convergence generated by a single statistical measure, Acta Math. Sin. (Engl. Ser.) 32 (2016), no. 6, 668-682.
  15. [doi] J. Šupina, Ideal QN-spaces, J. Math. Anal. Appl. 435 (2016), no. 1, 477-491
• [pdf, doi] When does the Katětov order imply that one ideal extends the other?, Colloq. Math. 130 (2013), no. 1, 91-102 (with P. Barbarski, N. Mrożek and P. Szuca)
  1. [doi] K. Kowitz, A. Kwela, Ultrafilters and the Katětov order, Topology Appl. 361 (2025), Paper No. 109191.
  2. [doi] M. Kwela, Some properties of the ideal of nowhere dense sets in the common division topology, Acta Math. Hungar. 174, 299–311 (2024)
  3. [arXiv] M. Balcerzak, Sz. Głąb, P. Leonetti Topological complexity of ideal limit points, arXiv:2407.12160.
  4. [arXiv] A. Kwela More on yet another ideal version of the bounding number, arXiv:2406.15949.
  5. [doi, arXiv] M. Rincón-Villamizar, C. Uzcátegui Aylwin Banach spaces of I-convergent sequences, J. Math. Anal. Appl. 536 (2024), no. 2, Paper No. 128271, 19 pp.
  6. [doi] J. He, J. Luo, S. Zhang On the extendability to Π⁰₃ ideals and Katětov order, Arch. Math. Logic (2024).
  7. [doi, pdf, arxiv] S. Bardyla, J. Šupina, L. Zdomskyy, Ideal approach to convergence in functional spaces, Trans. Amer. Math. Soc. 376 (2023), no. 12, 8495–8528.
  8. [doi, arXiv, pdf] A. Marton, J. Šupina, On P-like ideals induced by disjoint families, J. Math. Anal. Appl. 528 (2023), no. 2, Paper No. 127551, 23 pp.
  9. [arxiv, doi] A. Kwela, Unboring ideals, Fund. Math. 261 (2023), 235-272
  10. [doi, pdf, arxiv] A. Kwela, Inductive limits of ideals, Topology Appl. 300 (2021), Paper No. 107798, 13 pp.
  11. [doi] C. Uzcátegui Aylwin, Ideals on countable sets: a survey with questions. Rev. Integr. Temas Mat. 37 (2019), no. 1, 167–198.
  12. A. Kwela and M. Staniszewski, Ideal equal Baire classes. J. Math. Anal. Appl. 451 (2017), no. 2, 1133–1153
  13. A. Kwela and J. Tryba, Homogeneous ideals on countable sets, Acta Math. Hungar. 151 (2017), no. 1, 139–161.
  14. O. Guzman-Gonzalez and D. Meza-Alcantara, Some Structural Aspects of the Katetov Order on Borel Ideals, Order 33 (2016), no. 2, 189-194.
  15. [doi] A. Kwela, A note on a new ideal, J. Math. Anal. Appl. 430 (2015), no. 2, 932-949.
• [pdf, doi] Ideal version of Ramsey's theorem, Czechoslovak Math. J., 61 (2011), no. 2, 289-308 (with N. Mrożek, I. Recław and P. Szuca)
  1. [doi] K. Kowitz, A. Kwela, Ultrafilters and the Katětov order, Topology Appl. 361 (2025), Paper No. 109191.
  2. [doi] X. He, H. Zhang, S. Zhanga, The Borel complexity of ideal limit points. Topology Appl. 312 (2022), Paper No. 108061, 12 pp.
  3. [doi, pdf, arXiv] B. De Bondt, H. Vernaeve, Filter-dependent versions of the uniform boundedness principle, J. Math. Anal. Appl. 495 (2021), no. 1, Paper No. 124705, 23 pp.
  4. [pdf, doi] J. Yu, S. Zhang, MAD Families, P+(I)-Ideals and Ideal Convergence, Filomat 34:9 (2020), 3099–3108
  5. [pdf, doi] J. Yu, S. Zhang, Ideal Versions of the Bolzano-Weierstrass Property, Filomat 33:10 (2019), 2963–2973
  6. [doi] C. Uzcátegui Aylwin, Ideals on countable sets: a survey with questions. Rev. Integr. Temas Mat. 37 (2019), no. 1, 167–198.
  7. [pdf, doi] J. Marchwicki, Achievement sets and sum ranges with ideal supports. Filomat 32 (2018), no. 14, 4911–4922.
  8. [doi] J. Camargo, C. Uzcátegui, Selective separability on spaces with an analytic topology. Topology Appl. 248 (2018), 176–191
  9. M. Hrušák, D. Meza-Alcántara, E. Thümmel, C. Uzcátegui, Ramsey type properties of ideals, Ann. Pure Appl. Logic 168 (2017), no. 11, 2022–2049.
  10. [doi] A. Kamiński, S. Sorek, On the Mikusiński-Antosik diagonal theorem and the equivalence of two types of convergence in Köthe spaces, Publ. Inst. Math. (Beograd) (N.S.) 101(115) (2017), 151–160.
  11. [doi] A. Kwela, A note on a new ideal, J. Math. Anal. Appl. 430 (2015), no. 2, 932-949.
  12. M. Hrusak, Combinatorics of filters and ideals, Set theory and its applications, Contemp. Math.,vol. 533, Amer. Math. Soc., Providence, RI, 2011, pp. 29-69.
  13. N. Samet and B. Tsaban, Superfilters, Ramsey theory, and van der Waerden’s theorem, Topology Appl. 156 (2009), no. 16, 2659-2669.
• [pdf, doi] Uniform density u and I_u-convergence on a big set, Math. Commun. 16 (2011), no. 1, 125-130 (with P. Barbarski, N. Mrożek and P. Szuca)
  1. [doi] P. Klinga, A. Nowik, On some properties of Lévy vectors and their variations, Lith Math J 63, 181–189 (2023)
  2. [pdf, doi] M. Singha, U. K. Hom, Variant of thin sets and their influence in convergence, Filomat 37:17 (2023), 5847–5858
  3. [doi, arXiv] J. Connor, P. Leonetti, A characterization of (I,J)-regular matrices, J. Math. Anal. Appl. 504 (2021), no. 1, Paper No. 125374, 10 pp.
  4. [doi] P. Leonetti, F. Maccheroni, Characterizations of ideal cluster points. Analysis (Berlin) 39 (2019), no. 1, 19–26.
  5. [arXiv, doi] J. Brendle, B. Farkas, J. Verner, Towers in Filters, Cardinal Invariants, and Luzin Type Families, J. Symb. Log. 83 (2018), no. 3, 1013–1062.
  6. [doi] M. Kwela, A. Nowik, Ideals of nowhere dense sets in some topologies on positive integers. Topology Appl. 248 (2018), 149–163.
  7. [doi] J. Tryba, Weighted uniform density ideals. Math. Slovaca 68 (2018), no. 4, 717–726.
  8. P. Klinga and A. Nowik, Extendability to summable ideals, Acta Math. Hungar. 152 (2017), no. 1, 150–160.
  9. T. Yurdakadim, L. Miller-Van Wieren, Subsequential results on uniform statistical convergence, Sarajevo J. Math. 12(25) (2016), no. 2, 251–259.
  10. S. A. Mohiuddine, C. Belen, Restricted uniform density and corresponding convergence methods, Filomat 30 (2016), no. 12, 3209–3216.
  11. S. Głąb and M. Olczyk, Convergence of Series on Large Set of Indices, Math. Slovaca 65 (2015), no. 5, 1095-1106.
  12. M. Balcerzak, B. Farkas, and S. Głąb, Covering properties of ideals, Arch. Math. Logic 52 (2013), no. 3-4, 279-294.
• [pdf, doi] Pointwise versus equal (quasi-normal) convergence via ideals, J. Math. Anal. Appl. 422 (2015), no. 2, 995-1006 (with M. Staniszewski)
  1. [arXiv, pdf] A. Marton, M. Repický, Relative cofinality of ideals, arXiv:2502.08506
  2. [arXiv] A. Kwela More on yet another ideal version of the bounding number, arXiv:2406.15949.
  3. [doi, arXiv, pdf] A. Marton, J. Šupina, On P-like ideals induced by disjoint families, J. Math. Anal. Appl. 528 (2023), no. 2, Paper No. 127551, 23 pp.
  4. [doi] A. Marton, P-Like Properties of Meager Ideals and Cardinal Invariants, Tatra Mountains Mathematical Publications, vol.85, no.3, 2023, pp.73-88
  5. [doi] J. Supina, Pseudointersection numbers, ideal slaloms, topological spaces, and cardinal inequalities, Arch. Math. Logic 62 (2023), no. 1-2, 87–112.
  6. [doi, pdf] M. Repický, Spaces not distinguishing ideal convergences of real-valued functions. Real Anal. Exchange 46 (2021), no. 2, 367–394.
  7. [doi] S. Singh, B. Tyagi, M. Bhardwaj, Sequence selection properties in Cp(X) with the double ideals. Math. Slovaca 71 (2021), no. 1, 147–154.
  8. [doi] P. Das, S. Sengupta, J. Šupina, I^K-convergence of sequences of functions. Math. Slovaca 69 (2019), no. 5, 1137–1148.
  9. [doi] P. Das, U. Samanta, D. Chandra, Some observations on Hurewicz and I-Hurewicz property. Topology Appl. 258 (2019), 202–214.
  10. [doi] V. Šottová, J. Šupina, Principle S₁(P,R): ideals and functions. Topology Appl. 258 (2019), 282–304.
  11. [doi] A. Kwela, Ideal weak QN-spaces, Topology Appl. 240 (2018), 98–115
  12. [doi] J. Šupina, Ideal QN-spaces, J. Math. Anal. Appl. 435 (2016), no. 1, 477-491.
• [pdf, doi] I-selection principles for sequences of functions, J. Math. Anal. Appl. 396 (2012), no. 2, 680-688 (with N. Mrożek, I. Recław and P. Szuca)
  1. [arxiv, doi] A. Kwela, Unboring ideals, Fund. Math. 261 (2023), 235-272
  2. [pdf, doi] J. Yu, S. Zhang, MAD Families, P+(I)-Ideals and Ideal Convergence, Filomat 34:9 (2020), 3099–3108
  3. [doi] G. García, A quantitative version of Helly’s selection principle in Banach spaces and its applications. Ann. Funct. Anal. 11 (2020), no. 4, 1220–1235.
  4. [doi] C. Uzcátegui Aylwin, Ideals on countable sets: a survey with questions. Rev. Integr. Temas Mat. 37 (2019), no. 1, 167–198.
  5. H. Feng and D. Hobson, Gambling in contests with random initial law, Ann. Appl. Probab. 26 (2016), no. 1, 186-215.
  6. [doi] A. Kwela, A note on a new ideal, J. Math. Anal. Appl. 430 (2015), no. 2, 932-949.
  7. E. Athanassiadou, A. Boccuto, X. Dimitriou, and N. Papanastassiou, Ascoli-type theorems and ideal (α)-convergence, Filomat 26 (2012), no. 2, 397-405.
• [pdf, doi] Density versions of Schur's theorem for ideals generated by submeasures, J. Combin. Theory Ser. A 117 (2010), no. 7, 943-956 (with P. Szuca)
  1. [doi] J. Tryba, Different kinds of density ideals. J. Math. Anal. Appl. (2021), 124930.
  2. [doi] K. Bose, P. Das, S. Sengupta, On spliced sequences and the density of points with respect to a matrix constructed by using a weight function. Ukraïn. Mat. Zh. 71 (2019), no. 9, 1192–1207; reprinted in Ukrainian Math. J. 71 (2020), no. 9, 1359–1378
  3. [doi, pdf] P. Das, K. Bose, S. Sengupta, On IA-Density of Points and Some of its Consequences, Filomat 31 (2017), no. 20, 6585-6595.
  4. S. Głąb and M. Olczyk, Convergence of Series on Large Set of Indices, Math. Slovaca 65 (2015), no. 5, 1095-1106.
  5. A. Bartoszewicz, P. Das, and S. Głąb, On matrix summability of spliced sequences and A-density of points, Linear Algebra Appl. 487 (2015), 22-42.
  6. P. Das, S. Dutta, S. A. Mohiuddine, and A. Alotaibi, A-statistical cluster points in finite dimensional spaces and application to turnpike theorem, Abstr. Appl. Anal. (2014), Art. ID 354846, 7.
  7. A. Boccuto, X. Dimitriou, and N. Papanastassiou, Schur lemma and limit theorems in lattice groups with respect to filters, Math. Slovaca 62 (2012), no. 6, 1145-1166.
• [pdf, doi] Representation of ideal convergence as a union and intersection of matrix summability methods, J. Math. Anal. Appl. 484 (2020), no. 2, 123760 (with J. Tryba)
  1. [arXiv] J. Keith, P. Leonetti, Completeness and additive property for submeasures, arXiv:2501.13615
  2. [arXiv, pdf] P. Leonetti, Core equality of real sequences, arXiv:2401.01136
  3. [arXiv, pdf] P. Leonetti, Strong universality, recurrence, and analytic P-ideals in dynamical systems, arXiv:2401.01131
  4. [pdf, arXiv] P. Leonetti, C. Orhan, On some locally convex FK spaces, arXiv:2205.15048 .
  5. [pdf, doi] C. Orhana, M. Gulfirata, Generalized limits and ideal convergence, Filomat 38:32 (2024), 11259–11267
  6. [doi, arXiv, pdf] A. Marton, J. Šupina, On P-like ideals induced by disjoint families, J. Math. Anal. Appl. 528 (2023), no. 2, Paper No. 127551, 23 pp.
  7. [doi] P. Das, Ideals, Nonnegative Summability Matrices and Corresponding Convergence Notions: A Short Survey of Recent Advancements, Axioms 2022, 11(1).
• [pdf, doi] On some questions of Drewnowski and Łuczak concerning submeasures on N, J. Math. Anal. Appl. 371 (2010), no. 2, 655-660 (with P. Szuca)
  1. [arXiv] L. Drewnowski, Nonatomic submeasures on N and the Banach space l_1 (2021)
  2. [doi] K. Bose, P. Das, S. Sengupta, On spliced sequences and the density of points with respect to a matrix constructed by using a weight function. Ukraïn. Mat. Zh. 71 (2019), no. 9, 1192–1207; reprinted in Ukrainian Math. J. 71 (2020), no. 9, 1359–1378
  3. [doi, pdf] P. Das, K. Bose, S. Sengupta, On IA-Density of Points and Some of its Consequences, Filomat 31 (2017), no. 20, 6585-6595.
  4. S. Głąb and M. Olczyk, Convergence of Series on Large Set of Indices, Math. Slovaca 65 (2015), no. 5, 1095-1106.
  5. A. Bartoszewicz, P. Das, and S. Głąb, On matrix summability of spliced sequences and A-density of points, Linear Algebra Appl. 487 (2015), 22-42.
  6. T. Natkaniec and J. Wesołowska, Sets of ideal convergence of sequences of quasi-continuous functions, J. Math. Anal. Appl. 423 (2015), no. 2, 924-939.
• [pdf, doi] On the difference property of Borel measurable and (s)-measurable functions, Acta Math. Hungar. 96 (2002), no. 1-2, 21-25 (with I. Recław)
  1. [doi] M. Adam, Stability of Fréchet Functional Equation in Class of Differentiable Functions, Symmetry. 2025; 17(2):152.
  2. H. Fujita and T. Matrai, On the difference property of Borel measurable functions, Fund. Math. 208 (2010), no. 1, 57-73.
  3. H. Fujita, Remarks on two problems by M. Laczkovich on functions with Borel measurable differences, Acta Math. Hungar. 117 (2007), no. 1-2, 153-160.
  4. K. Ciesielski and J. Pawlikowski, Nice Hamel bases under the covering property axiom, Acta Math. Hungar. 105 (2004), no. 3, 197-213.
  5. K. Ciesielski and J. Pawlikowski, The covering property axiom, CPA, Cambridge Tracts in Mathematics, vol. 164, Cambridge University Press, Cambridge, 2004.
  6. M. Laczkovich, The difference property, Paul Erdos and his mathematics, I (Budapest, 1999), Bolyai Soc. Math. Stud., vol. 11, Janos Bolyai Math. Soc., Budapest, 2002, pp. 363-410.
• [pdf] Ideal convergence, a chapter in the monograph Traditional and present-day topics in real analysis, Łódź University Press, 2013, Editors: M. Filipczak, E. Wagner-Bojakowska (with T. Natkaniec and P. Szuca) [Cover and table of contents of the book]
  1. [arXiv, pdf] P. Das, A. Ghosh, When ideals properly extend the class of Arbault sets, arXiv:2401.02103
  2. [doi] P. Das, A. Ghosh, Eggleston’s dichotomy for characterized subgroups and the role of ideals, Ann. Pure Appl. Logic (2023), 103289
  3. [doi] P. Das, Ideals, Nonnegative Summability Matrices and Corresponding Convergence Notions: A Short Survey of Recent Advancements, Axioms 2022, 11(1).
  4. [doi] M. Staniszewski, On ideal equal convergence II, J. Math. Anal. Appl. 451 (2017), no. 2, 1179–1197
  5. [pdf] M. Balcerzak, M. Filipczak, Ideal convergence of sequences and some of its applications. Folia Math. 19 (2017), no. 1, 3–8.
• [pdf, doi] On Hindman spaces and the Bolzano-Weierstrass property, Topology Appl. 160 (2013), no. 15, 2003-2011
  1. [doi] M. Kwela, Rizza’s ideal and comparison of some known set-theoretic ideals from number theory and combinatorics, Period Math Hung (2025).
  2. [doi] K. Kowitz, A. Kwela, Ultrafilters and the Katětov order, Topology Appl. 361 (2025), Paper No. 109191.
  3. [pdf, doi] M. Singha, U. K. Hom, Variant of thin sets and their influence in convergence, Filomat 37:17 (2023), 5847–5858
  4. [doi] K. Kowitz, Differentially compact spaces, Topology and its Applications, Volume 307, 2022, 107948,
• [pdf, doi] On some properties of Hamel bases and their applications to Marczewski measurable functions, Cent. Eur. J. Math. 11 (2013), no. 3, 487-508 (with F. Dorais and T. Natkaniec)
  1. [doi] N.H. Bingham, E. Jabłońska, W. Jabłoński, A. Ostaszewski On Subadditive Functions Bounded Above on a “Large” Set, Results Math 75, 58 (2020)
  2. A. B. Kharazishvili, Set Theoretical Aspects of Real Analysis, Monographs and Research Notes in Mathematics, Taylor & Francis, 2014.
  3. N. H. Bingham and A. J. Ostaszewski, The Steinhaus theorem and regular variation: de Bruijn and after, Indag. Math. (N.S.) 24 (2013), no. 4, 679-692.
• [pdf, doi] Coincidence of PTPN22 c.1858CC and FCRL3 -169CC genotypes as a biomarker of preserved residual β-cell function in children with type 1 diabetes, Pediatric Diabetes 18 (2017), no. 8, 696-705 (with M. Pawłowicz, G. Krzykowski, A. Stanisławska-Sachadyn, L. Morzuch, J. Kulczycka, A. Balcerska, J. Limon)
  1. [doi] R. Žak, L. Navasardyan, J. Hunák, J. Martinů, P. Heneberg, PTPN22 intron polymorphism rs1310182 (c.2054-852T>C) is associated with type 1 diabetes mellitus in patients of Armenian descent
  2. [doi] G. Huraib, F. Harthi, M. Arfin, A. Al-Asmari, The Protein Tyrosine Phosphatase Non-Receptor Type 22 (PTPN22) Gene Polymorphism and Susceptibility to Autoimmune Diseases, a chapter in The Recent Topics in Genetic Polymorphisms, (2020).
  3. [doi] M. Z. Haider, M. A. Rasoul, M. Al-Mahdi, H. Al-Kandari, G. S. Dhaunsi, Association of protein tyrosine phosphatase non-receptor type 22 gene functional variant C1858T, HLA-DQ/DR genotypes and autoantibodies with susceptibility to type-1 diabetes mellitus in Kuwaiti Arabs, PLoS ONE 13(6): e0198652, (2018)
• [pdf, doi] Extending the ideal of nowhere dense subsets of rationals to a P-ideal, Comment. Math. Univ. Carolin. 54 (2013), no. 3, 429-435 (with N. Mrożek, I. Recław and P. Szuca)
  1. [doi] M. Kwela, J. Tryba, Extendability to Marczewski-Burstin countably representable ideals, Topology Appl. 359 (2025), No. 109134,
  2. [arXiv, pdf] P. Leonetti, Tauberian theorems for ordinary convergence, arXiv:2012.03311 [math.FA]
  3. [doi, arXiv, pdf] M. Balcerzak, P. Leonetti, The Baire category of subsequences and permutations which preserve limit points. Results Math. 75 (2020), no. 4, Paper No. 171, 14 pp.
• [pdf, doi] Algebraic sums of sets in Marczewski-Burstin algebras, Real Anal. Exchange 31 (2005/2006), no. 1, 133-142 (with F. Dorais)
  1. [doi] M. Kwela, Rizza’s ideal and comparison of some known set-theoretic ideals from number theory and combinatorics, Period Math Hung (2025).
  2. A. B. Kharazishvili, Set Theoretical Aspects of Real Analysis, Monographs and Research Notes in Mathematics, Taylor & Francis, 2014.
  3. M. Kysiak, Nonmeasurable algebraic sums of sets of reals, Colloq. Math. 102 (2005), no. 1, 113-122.
• [pdf, doi] On the difference property of the family of functions with the Baire property, Acta Math. Hungar. 100 (2003), no. 1-2, 97-104
  1. [doi] M. Adam, Stability of Fréchet Functional Equation in Class of Differentiable Functions, Symmetry. 2025; 17(2):152.
  2. T. Matrai, Weak difference property of functions with the Baire property, Fund. Math. 177 (2003), no. 1, 1-17.
  3. M. Laczkovich, The difference property, Paul Erdos and his mathematics, I (Budapest, 1999), Bolyai Soc. Math. Stud., vol. 11, Janos Bolyai Math. Soc., Budapest, 2002, pp. 363-410.
• [pdf, doi] Convergence in van der Waerden and Hindman spaces, Topology Appl. 178 (2014), 438-452 (with J. Tryba)
  1. [doi] M. Kwela, Rizza’s ideal and comparison of some known set-theoretic ideals from number theory and combinatorics, Period Math Hung (2025).
  2. [doi] K. Kowitz, A. Kwela, Ultrafilters and the Katětov order, Topology Appl. 361 (2025), Paper No. 109191.
  3. [arxiv, doi] A. Kwela, Unboring ideals, Fund. Math. 261 (2023), 235-272
• [pdf, doi] There are measurable Hamel functions, Real Anal. Exchange 36 (2010/2011), no. 1, 223-230 (with A. Nowik and P. Szuca)
  1. T. Natkaniec, An example of a quasi-continuous Hamel function, Real Anal. Exchange 36 (2010/11), no. 1, 231-236.
  2. G. Matusik and T. Natkaniec, Algebraic properties of Hamel functions, Acta Math. Hungar. 126 (2010), no. 3, 209-229.
• [pdf, doi] The reaping and splitting numbers of nice ideals, Colloq. Math. 134 (2014), no. 2, 179-192
  1. [doi] H. Zhang, J. He, S. Zhang, Splitting positive sets, Sci. China Math. (2023)
  2. [pdf] P. Das, U. Samanta, D. Chandra, A more balanced approach to ideal variation of γ-covers, Houston J. Math. 46 (2020), no. 2, 519–535.
• [DOI, arXiv, PDF] Characterizing existence of certain ultrafilters, Ann. Pure Appl. Logic 173 (2022), no. 9, Paper No. 103157 (with K. Kowitz and A. Kwela)
  1. [arXiv] T. Fujita, Various Properties of Various Ultrafilters, Various Graph Width Parameters, and Various Connectivity Systems (with Survey), arXiv:2408.02299.
  2. [arXiv] M. Balcerzak, Sz. Głąb, P. Leonetti, Topological complexity of ideal limit points, arXiv:2407.12160.
• [pdf, doi] Densities for sets of natural numbers vanishing on a given family, J. of Number Theory 211 (2020), 371-382 (with J. Tryba)
  1. [arXiv] J. Keith, P. Leonetti, Completeness and additive property for submeasures, arXiv:2501.13615
  2. [arXiv, pdf] P. Leonetti, M. Caprio, Turnpike in infinite dimension, arXiv:2012.06808 [math.FA]
• [pdf, doi] A note on nonregular matrices and ideals associated with them, Colloq. Math. 159 (2020), no. 1, 29-45 (with P. Das and J. Tryba)
  1. [doi] M. Balcerzak and P. Leonetti, A Tauberian theorem for ideal statistical convergence, Indag. Math. (N.S.) 31 (2020), no. 1, 83–95.
• [arXiv, PDF] A unified approach to Hindman, Ramsey and van der Waerden spaces, (with K. Kowitz and A. Kwela)
  1. [arxiv] C. Corral, O. Guzmán, C. López-Callejas, P. Memarpanahi, P. Szeptycki, S. Todorčevic, Infinite dimensional sequential compactness: Sequential compactness based on barriers, arXiv:2309.04397
• [DOI, arXiv, PDF] Yet another ideal version of the bounding number, J. Symb. Log. 87 (2022), no. 3, 1065–1092 (with A. Kwela)
  1. [arXiv] M. A. Cardona, V. Gavalova, D. A. Mejia, M. Repicky, J. Supina Slalom numbers, arXiv:2406.19901.
• [PDF, DOI] On the difference property of families of measurable functions, Colloq. Math. 97 (2003), no. 2, 169-180
  1. [doi] M. Adam, Stability of Fréchet Functional Equation in Class of Differentiable Functions, Symmetry. 2025; 17(2):152.
• [arXiv, PDF] Path of pathology, submitted (with J. Tryba)
  1. [arXiv] J. Lopez-Abad, V. Olmos-Prieto, C. Uzcátegui-Aylwin, F_σ-ideals, colorings, and representation in Banach spaces, arXiv:2501.15643