Adam Kwela

INSTITUTE OF MATHEMATICS, UNIVERSITY OF GDAŃSK

Adam.Kwela@ug.edu.pl

Institute of Mathematics
University of Gdańsk
ul. Wita Stwosza 57
80-308 Gdańsk, Poland


Welcome to my page!

My research interests:
Applications of Set Theory, combinatorics of ideals on countable sets, small subsets of the real line, Haar-null sets, attractors of IFSs.


Submitted preprints:

  1. A. Kwela, D. Lesner, J. Tryba,
    I-closed sets and I-continuous functions,
    submitted.
  2. R. Figueroa-Sierra, O. Guzmán, M. Hrušák, A. Kwela,
    Are scales Fréchet?,
    submitted.
  3. A. Kwela, D. Lesner,
    A new order for ideal sequential compactness,
    submitted.
  4. J. Gulgowski, A. Kwela, J. Tryba,
    Functions of bounded variation from ideal perspective,
    submitted.


Accepted articles:

  1. R. Filipów, A. Kwela, P. Leonetti,
    Sets of Ramsey-limit points and IP-limit points,
    to appear in Proceedings of the American Mathematical Society.
  2. R. Filipów, A. Kwela,
    Two or not two ?,
    to appear in Journal of Symbolic Logic, DOI: 10.1017/jsl.2026.10197
  3. R. Filipów, M. Kowalczuk, A. Kwela,
    Critical ideals for countable compact spaces,
    to appear in Fundamenta Mathematicae.
  4. R. Filipów, A. Kwela, P. Leonetti,
    Borel complexity of sets of ideal limit points,
    to appear in Journal of Symbolic Logic, DOI: 10.1017/jsl.2026.10181
  5. A. Kwela, J. Swaczyna,
    Zoo of ideal Schauder bases,
    to appear in Journal of Symbolic Logic, DOI: 10.1017/jsl.2025.10136
  6. A. Kwela,
    More on yet another ideal version of the bounding number,
    to appear in Journal of Symbolic Logic, DOI: 10.1017/jsl.2024.70


Published articles:

  1. R. Filipów, M. Kowalczuk, H. Książek, A. Kwela, G. Ucal,
    Critical partition regular functions for compact spaces,
    Topology and its Applications 385 (2026), 109804.
  2. R. Filipów, K. Kowitz, A. Kwela,
    A unified approach to Hindman, Ramsey and van der Waerden spaces,
    Journal of Symbolic Logic 91 (2026), 420—472, DOI: 10.1017/jsl.2024.8
  3. J. Gulgowski, A. Kwela, J. Tryba,
    Compactness in spaces of functions of bounded variation from ideal perspective,
    Banach Journal of Mathematical Analysis 19 (2025), 58, DOI: 10.1007/s43037-025-00443-4.
  4. R. Filipów, A. Kwela,
    Spaces not distinguishing ideal pointwise and σ-uniform convergence,
    Annals of Pure and Applied Logic 176 (2025), 103609, DOI: 10.1016/j.apal.2025.103609.
  5. K. Kowitz, A. Kwela,
    Ultrafilters and the Katětov order,
    Topology and its Applications 361 (2025), 109191, DOI: 10.1016/j.topol.2024.109191
  6. A. Kwela,
    Egorov ideals,
    Topology and its Applications 358 (2024), 109112.
  7. R. Filipów, K. Kowitz, A. Kwela,
    Katětov order between Hindman, Ramsey and summable ideals,
    Archive for Mathematical Logic 63 (2024), 859—876, DOI: 10.1007/s00153-024-00924-7.
  8. R. Filipów, A. Kwela, J. Tryba,
    The ideal test for the divergence of a series,
    RACSAM 117 (2023), 98.
  9. A. Kwela,
    Unboring ideals,
    Fundamenta Mathematicae 261 (2023), 235—272, DOI: 10.4064/fm44-2-2023.
  10. A. Kwela,
    On a conjecture of Debs and Saint Raymond,
    Fundamenta Mathematicae 260 (2023), 67—76, DOI: 10.4064/fm111-5-2022
  11. R. Filipów, K. Kowitz, A. Kwela,
    Characterizing existence of certain ultrafilters,
    Annals of Pure and Applied Logic 173 (2022), 103157, DOI: 10.1016/j.apal.2022.103157
  12. P. Klinga, A. Kwela,
    Porosities of the sets of attractors,
    Journal of Mathematical Analysis and Applications 514 (2022), 126348
  13. A. Kwela,
    On extendability to ideals,
    Archive for Mathematical Logic, 61 (2022), 881—890, DOI: 10.1007/s00153-022-00822-w
  14. P. Klinga, A. Kwela,
    Borel complexity of the family of attractors for weak IFSs,
    Acta Mathematica Hungarica 166 (2022), 124—141, DOI: 10.1007/s10474-021-01199-7
  15. P. Klinga, A. Kwela,
    Comparison of the sets of attractors for systems of contractions and weak contractions,
    Chaos, Solitons & Fractals 155 (2022), 111764
  16. A. Kwela, P. Leonetti,
    Density-Like and Generalized Density Ideals,
    Journal of Symbolic Logic 87 (2022), 228—251, DOI: 10.1017/jsl.2021.95
  17. R. Filipów, K. Kowitz, A. Kwela J. Tryba,
    New Hindman spaces,
    Proceedings of the American Mathematical Society 150 (2022), 891—902
  18. R. Filipów, A. Kwela,
    Yet another ideal version of the bounding number,
    Journal of Symbolic Logic 87 (2022), 1065—1092, DOI: 10.1017/jsl.2021.69
  19. A. Kwela,
    Inductive limits of ideals,
    Topology and its Applications 300 (2021), 107798.
  20. A. Kwela, W. Wołoszyn,
    Differentiability of continuous functions in terms of Haar-smallness,
    Topology and its Applications 284 (2020), 107353
  21. A. Kwela,
    Haar-smallest sets,
    Topology and its Applications 267 (2019), 106892.
  22. P. Klinga, A. Kwela, M. Staniszewski,
    Size of the set of attractors for iterated function systems,
    Chaos, Solitons & Fractals 128 (2019), 104—107
  23. A. Kwela, M. Popławski, J. Swaczyna, J. Tryba,
    Properties of simple density ideals,
    Journal of Mathematical Analysis and Applications 477 (2019), 551—575
  24. K. Bose, P. Das, A. Kwela,
    Generating new ideals using weighted density via modulus functions,
    Indagationes Mathematicae 29 (2018), 1196—1209
  25. A. Kwela,
    Ideal weak QN-spaces,
    Topology and its Applications 240 (2018), 98—115.
  26. A. Kwela,
    Erdös-Ulam ideals vs. simple density ideals,
    Journal of Mathematical Analysis and Applications 462 (2018), 114—130
  27. A. Kwela, J. Tryba,
    Homogeneous ideals on countable sets,
    Acta Mathematica Hungarica 151 (2017), 139—161
  28. A. Kwela, M. Staniszewski,
    Ideal equal Baire classes,
    Journal of Mathematical Analysis and Applications 451 (2017), 1133—1153
  29. A. Kwela, P. Zakrzewski,
    Combinatorics of ideals — selectivity versus density,
    Commentationes Mathematicae Universitatis Carolinae 58 (2017), 261—266
    Unpublished extended version of this paper.
  30. A. Kwela,
    Additivity of the ideal of microscopic sets,
    Topology and its Applications 204 (2016), 51—62.
  31. K. Czudek, A. Kwela, N. Mrożek, W. Wołoszyn,
    Ideal-like properties of generalized microscopic sets,
    Acta Mathematica Hungarica 150 (2016), 269—285
  32. A. Kwela,
    A note on a new ideal,
    Journal of Mathematical Analysis and Applications 430 (2015), 932—949.
  33. A. Kwela, M. Sabok,
    Topological representations,
    Journal of Mathematical Analysis and Applications 422 (2015), 1434—1446
  34. A. Kwela, I. Recław,
    Ranks of -limits of filter sequences,
    Journal of Mathematical Analysis and Applications 398 (2013), 872—878
My PhD thesis (in Polish).