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. On a conjecture of Debs and Saint Raymond, submitted.
  2. Characteizing existence of certain ultrafilters, submitted (with R. Filipów and K. Kowitz).
  3. Porosities of the sets of attractors, submitted (with P. Klinga).
  4. On extendability to ideals, submitted.
  5. Comparison of the sets of attractors for systems of contractions and weak contractions, submitted (with P. Klinga).
  6. Unboring ideals, submitted.
  7. Density-Like and Generalized Density Ideals, submitted (with P. Leonetti).


Accepted articles:

  1. Borel complexity of the family of attractors for weak IFSs, to appear in Acta Mathematica Hungarica (with P. Klinga).


Published articles:

  1. Density-Like and Generalized Density Ideals, Journal of Symbolic Logic, DOI: 10.1017/jsl.2021.95 (with P. Leonetti).
  2. New Hindman spaces, Proceedings of the American Mathematical Society, DOI: 10.1090/proc/15720 (with R. Filipów, K. Kowitz and J. Tryba).
  3. Yet another ideal version of the bounding number, Journal of Symbolic Logic, DOI: 10.1017/jsl.2021.69 (with R. Filipów).
  4. Inductive limits of ideals, Topology and its Applications 300 (2021), 107798.
  5. Differentiability of continuous functions in terms of Haar-smallness, Topology and its Applications 284 (2020), 107353 (with W. Wołoszyn).
  6. Haar-smallest sets, Topology and its Applications 267 (2019), 106892.
  7. Size of the set of attractors for iterated function systems, Chaos, Solitons & Fractals 128 (2019), 104—107 (with P. Klinga and M. Staniszewski).
  8. Properties of simple density ideals, Journal of Mathematical Analysis and Applications 477 (2019), 551—575 (with M. Popławski, J. Swaczyna and J. Tryba).
  9. Generating new ideals using weighted density via modulus functions, Indagationes Mathematicae 29 (2018), 1196—1209 (with K. Bose and P. Das).
  10. Ideal weak QN-spaces, Topology and its Applications 240 (2018), 98—115.
  11. Erdös-Ulam ideals vs. simple density ideals, Journal of Mathematical Analysis and Applications 462 (2018), 114—130
  12. Homogeneous ideals on countable sets, Acta Mathematica Hungarica 151 (2017), 139—161 (with J. Tryba).
  13. Ideal equal Baire classes, Journal of Mathematical Analysis and Applications 451 (2017), 1133—1153 (with M. Staniszewski).
  14. Combinatorics of ideals — selectivity versus density, Commentationes Mathematicae Universitatis Carolinae 58 (2017), 261—266 (with P. Zakrzewski). Unpublished extended version of this paper.
  15. Additivity of the ideal of microscopic sets, Topology and its Applications 204 (2016), 51—62.
  16. Ideal-like properties of generalized microscopic sets, Acta Mathematica Hungarica 150 (2016), 269—285 (with K. Czudek, N. Mrożek, and W. Wołoszyn).
  17. A note on a new ideal, Journal of Mathematical Analysis and Applications 430 (2015), 932—949.
  18. Topological representations, Journal of Mathematical Analysis and Applications 422 (2015), 1434—1446 (with M. Sabok).
  19. Ranks of -limits of filter sequences, Journal of Mathematical Analysis and Applications 398 (2013), 872—878 (with I. Recław).
My PhD thesis (in Polish).