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. J. Gulgowski, A. Kwela, J. Tryba,
    Compactness in spaces of functions of bounded variation from ideal perspective,
    submitted.
  2. A. Kwela, J. Swaczyna,
    Zoo of filter Schauder bases,
    submitted.
  3. R. Filipów, A. Kwela, P. Leonetti,
    Borel complexity of sets of ideal limit points,
    submitted.
  4. J. Gulgowski, A. Kwela, J. Tryba,
    Functions of bounded variation from ideal perspective,
    submitted.
  5. R. Filipów, A. Kwela,
    Spaces not distinguishing ideal pointwise and σ-uniform convergence,
    submitted.


Accepted articles:

  1. 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
  2. R. Filipów, K. Kowitz, A. Kwela,
    A unified approach to Hindman, Ramsey and van der Waerden spaces,
    to appear in Journal of Symbolic Logic, DOI: 10.1017/jsl.2024.8


Published articles:

  1. K. Kowitz, A. Kwela,
    Ultrafilters and the Katětov order,
    Topology and its Applications 361 (2025), 109191, DOI: 10.1016/j.topol.2024.109191
  2. A. Kwela,
    Egorov ideals,
    Topology and its Applications 358 (2024), 109112.
  3. 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.
  4. R. Filipów, A. Kwela, J. Tryba,
    The ideal test for the divergence of a series,
    RACSAM 117 (2023), 98.
  5. A. Kwela,
    Unboring ideals,
    Fundamenta Mathematicae 261 (2023), 235—272, DOI: 10.4064/fm44-2-2023.
  6. A. Kwela,
    On a conjecture of Debs and Saint Raymond,
    Fundamenta Mathematicae 260 (2023), 67—76, DOI: 10.4064/fm111-5-2022
  7. 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
  8. P. Klinga, A. Kwela,
    Porosities of the sets of attractors,
    Journal of Mathematical Analysis and Applications 514 (2022), 126348
  9. A. Kwela,
    On extendability to ideals,
    Archive for Mathematical Logic, 61 (2022), 881—890, DOI: 10.1007/s00153-022-00822-w
  10. 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
  11. P. Klinga, A. Kwela,
    Comparison of the sets of attractors for systems of contractions and weak contractions,
    Chaos, Solitons & Fractals 155 (2022), 111764
  12. A. Kwela, P. Leonetti,
    Density-Like and Generalized Density Ideals,
    Journal of Symbolic Logic 87 (2022), 228—251, DOI: 10.1017/jsl.2021.95
  13. R. Filipów, K. Kowitz, A. Kwela J. Tryba,
    New Hindman spaces,
    Proceedings of the American Mathematical Society 150 (2022), 891—902
  14. 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
  15. A. Kwela,
    Inductive limits of ideals,
    Topology and its Applications 300 (2021), 107798.
  16. A. Kwela, W. Wołoszyn,
    Differentiability of continuous functions in terms of Haar-smallness,
    Topology and its Applications 284 (2020), 107353
  17. A. Kwela,
    Haar-smallest sets,
    Topology and its Applications 267 (2019), 106892.
  18. P. Klinga, A. Kwela, M. Staniszewski,
    Size of the set of attractors for iterated function systems,
    Chaos, Solitons & Fractals 128 (2019), 104—107
  19. A. Kwela, M. Popławski, J. Swaczyna, J. Tryba,
    Properties of simple density ideals,
    Journal of Mathematical Analysis and Applications 477 (2019), 551—575
  20. K. Bose, P. Das, A. Kwela,
    Generating new ideals using weighted density via modulus functions,
    Indagationes Mathematicae 29 (2018), 1196—1209
  21. A. Kwela,
    Ideal weak QN-spaces,
    Topology and its Applications 240 (2018), 98—115.
  22. A. Kwela,
    Erdös-Ulam ideals vs. simple density ideals,
    Journal of Mathematical Analysis and Applications 462 (2018), 114—130
  23. A. Kwela, J. Tryba,
    Homogeneous ideals on countable sets,
    Acta Mathematica Hungarica 151 (2017), 139—161
  24. A. Kwela, M. Staniszewski,
    Ideal equal Baire classes,
    Journal of Mathematical Analysis and Applications 451 (2017), 1133—1153
  25. A. Kwela, P. Zakrzewski,
    Combinatorics of ideals — selectivity versus density,
    Commentationes Mathematicae Universitatis Carolinae 58 (2017), 261—266
    Unpublished extended version of this paper.
  26. A. Kwela,
    Additivity of the ideal of microscopic sets,
    Topology and its Applications 204 (2016), 51—62.
  27. K. Czudek, A. Kwela, N. Mrożek, W. Wołoszyn,
    Ideal-like properties of generalized microscopic sets,
    Acta Mathematica Hungarica 150 (2016), 269—285
  28. A. Kwela,
    A note on a new ideal,
    Journal of Mathematical Analysis and Applications 430 (2015), 932—949.
  29. A. Kwela, M. Sabok,
    Topological representations,
    Journal of Mathematical Analysis and Applications 422 (2015), 1434—1446
  30. 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).