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 Unpublished extended version of this paper.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