Adam Kwela


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 in Topology, Combinatorics and Real Analysis. In particular: combinatorics of ideals, ideal convergence, small subsets of the real line.

My publications (pdf files):

  1. Differentiability of continuous functions in terms of Haar-smallness, submitted (with W. Wołoszyn).
  2. Haar-smallest sets, submitted.
  3. Size of the set of attractors for iterated function systems, Chaos, Solitons & Fractals 128 (2019), 104—107 (with P. Klinga and M. Staniszewski).
  4. Properties of simple density ideals, J. Math. Anal. App. 477 (2019), 551—575 (with M. Popławski, J. Swaczyna and J. Tryba).
  5. Generating new ideals using weighted density via modulus functions, Indag. Math. 29 (2018), 1196—1209 (with K. Bose and P. Das).
  6. Ideal weak QN-spaces, Top. App. 240 (2018), 98—115.
  7. Erds-Ulam ideals vs. simple density ideals, J. Math. Anal. App. 462 (2018), 114—130
  8. Homogeneous ideals on countable sets, Acta Math. Hungar. 151 (2017), 139—161 (with J. Tryba).
  9. Ideal equal Baire classes, J. Math. Anal. App. 451 (2017), 1133—1153 (with M. Staniszewski).
  10. Combinatorics of ideals — selectivity versus density, Comment. Math. Univ. Carolin. 58 (2017), 261—266 (with P. Zakrzewski). Unpublished extended version of this paper.
  11. Additivity of the ideal of microscopic sets, Top. App. 204 (2016), 51—62.
  12. Ideal-like properties of generalized microscopic sets, Acta Math. Hungar. 150 (2016), 269—285 (with K. Czudek, N. Mrożek, and W. Wołoszyn).
  13. A note on a new ideal, J. Math. Anal. Appl. 430 (2015), 932—949.
  14. Topological representations, J. Math. Anal. Appl. 422 (2015), 1434—1446 (with M. Sabok).
  15. Ranks of -limits of filter sequences, J. Math. Anal. Appl. 398 (2013), 872—878 (with I. Recław).
My PhD thesis (in Polish).