Publications of Rafał Filipów

1. [arXiv, pdf] Sets of Ramsey-limit points and IP-limit points, submitted (with A. Kwela and P. Leonetti)
2. [arXiv, pdf] Critical partition regular functions for compact spaces, submitted (with M. Kowalczuk, Hubert Książek, A. Kwela, Grzegorz Ucal)
3. [arXiv, pdf] Two 𝕓 or not two 𝕓? submitted (with A. Kwela)
4. [arXiv, pdf] Path of pathology, submitted (with J. Tryba)
5. [arXiv, pdf] Critical ideals for countable compact spaces, to appear in Fund. Math. (with M. Kowalczuk and A. Kwela)
6. [doi, arXiv, pdf] Borel complexity of sets of ideal limit points, to appear in J. Symb. Log. (with A. Kwela and P. Leonetti)
7. [doi, arXiv, pdf] A unified approach to Hindman, Ramsey and van der Waerden spaces, to appear in J. Symb. Log. (with K. Kowitz and A. Kwela)
8. [doi, arXiv, pdf] Spaces not distinguishing ideal pointwise and σ-uniform convergence, Ann. Pure Appl. Logic 176 (2025), no. 9, Paper No. 103609 (with A. Kwela)
9. [doi, arXiv, pdf] Katětov order between Hindman, Ramsey, van der Waerden and summable ideals, Arch. Math. Logic 63 (2024), no. 7-8, 859–876 (with K. Kowitz and A. Kwela)
10. [doi, arXiv, pdf] The ideal test for the divergence of a series, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 117 (2023), no. 3, Paper No. 98 (with A. Kwela and J. Tryba)
11. [doi, arXiv, pdf] Yet another ideal version of the bounding number, J. Symb. Log. 87 (2022), no. 3, 1065–1092 (with A. Kwela)
12. [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)
13. [doi, arXiv, pdf] New Hindman spaces, Proc. Amer. Math. Soc. 150 (2022), 891-902 (with K. Kowitz, A. Kwela and J. Tryba)
14. [doi, arXiv, pdf] On the structure of Borel ideals in-between the ideals ED and Fin⊗Fin in the Katětov order, Ann. Pure Appl. Logic 172 (2021), no. 8, Paper No. 102976 (with P. Das, Sz. Głąb and J. Tryba)
15. [doi, arXiv, pdf] Densities for sets of natural numbers vanishing on a given family, J. of Number Theory 211 (2020), 371-382 (with J. Tryba)
16. [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)
17. [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)
18. [pdf, doi] The ACE rs4340 polymorphism as genetic modulator of gender-specific trends in diabetic ketoacidosis development at onset of type 1 diabetes in children, Polish Annals of Medicine 26 (2019), no. 1, 41-47 (with M. Pawłowicz, G. Krzykowski, A. Balcerska, J. Wojtkiewicz)
19. [pdf, doi] Ideal convergence versus matrix summability, Studia Math. 245 (2019), no. 2, 101-127 (with J. Tryba)
20. [pdf] Seminarium z Teorii Funkcji Rzeczywistych w Gdańsku, a chapter in the monograph Matematyka na Pomorzu Gdańskim 1945-2015, The University of Gdańsk Press, 2017, Editors: E. Jakimowicz, A. Szczepański (with J. Czarnowska, A. Kwela, G. Kwiecińska, J. Lipiński, T. Natkaniec and P. Szuca) [Table of contents of the book, Cover of the book]
21. [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)
22. [pdf, doi] Pointwise versus equal (quasi-normal) convergence via ideals, J. Math. Anal. Appl. 422 (2015), no. 2, 995-1006 (with M. Staniszewski)
23. [pdf, doi] Convergence in van der Waerden and Hindman spaces, Topology Appl. 178 (2014), 438-452 (with J. Tryba)
24. [pdf, doi] The reaping and splitting numbers of nice ideals, Colloq. Math. 134 (2014), no. 2, 179-192
25. [pdf, doi] On ideal equal convergence, Cent. Eur. J. Math. 12 (2014), no. 6, 896–910 (with M. Staniszewski)
26. [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]
27. [pdf, doi] On Hindman spaces and the Bolzano-Weierstrass property, Topology Appl. 160 (2013), no. 15, 2003-2011
28. [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)
29. [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)
30. [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)
31. [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)
32. [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)
33. [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)
34. [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)
35. [pdf, doi] There are measurable Hamel functions, Real Anal. Exchange 36 (2010/2011), no. 1, 223-230 (with A. Nowik and P. Szuca)
36. [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)
37. [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)
38. [pdf, doi] Rearrangement of conditionally convergent series on a small set, J. Math. Anal. Appl. 362 (2010), no. 1, 64-71 (with P. Szuca)
39. [pdf, doi] Ideal convergence of bounded sequences, J. Symbolic Logic 72 (2007), no. 2, 501--512 (with N. Mrożek, I. Recław and P. Szuca)
40. [pdf, doi] Algebraic sums of sets in Marczewski-Burstin algebras, Real Anal. Exchange 31 (2005/2006), no. 1, 133-142 (with F. Dorais)
41. [pdf, doi] On the difference property of families of measurable functions, Colloq. Math. 97 (2003), no. 2, 169-180
42. [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
43. [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)