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 Unpublished extended version of this paper.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