# 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):

- Restricted kinds of density using modulus functions and associated ideals, submitted (with K. Bose and P. Das).
- Properties of simple density ideals, submitted (with M. Popławski, J. Swaczyna and J. Tryba).
- Ideal weak QN-spaces, submitted.
- Erds-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. (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 Unpublished extended version of this paper.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).