# 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 particular: combinatorics of ideals on countable sets, small subsets of the real line, Haar-null sets, attractors of IFSs.

My publications (pdf files):

- Borel complexity of the family of attractors for weak IFSs, submitted (with P. Klinga).
- Inductive limits of ideals, submitted.
- Unboring ideals, submitted.
- New Hindman spaces, submitted (with R. Filipów, K. Kowitz and J. Tryba).
- Yet another ideal version of the bounding number, submitted (with R. Filipów).
- Density-Like and Generalized Density Ideals, submitted (with P. Leonetti).
- Differentiability of continuous functions in terms of Haar-smallness, accepted in Topology and its Applications (with W. Wołoszyn).
- Haar-smallest sets, Topology and its Applications 267 (2019), 106892.
- 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, Journal of Mathematical Analysis and Applications 477 (2019), 551—575 (with M. Popławski, J. Swaczyna and J. Tryba).
- Generating new ideals using weighted density via modulus functions, Indagationes Mathematicae 29 (2018), 1196—1209 (with K. Bose and P. Das).
- Ideal weak QN-spaces, Topology and its Applications 240 (2018), 98—115.
- Erdös-Ulam ideals vs. simple density ideals, Journal of Mathematical Analysis and Applications 462 (2018), 114—130
- Homogeneous ideals on countable sets, Acta Mathematica Hungarica 151 (2017), 139—161 (with J. Tryba).
- Ideal equal Baire classes, Journal of Mathematical Analysis and Applications 451 (2017), 1133—1153 (with M. Staniszewski).
- Combinatorics of ideals — selectivity versus density, Commentationes Mathematicae Universitatis Carolinae 58 (2017), 261—266 (with P. Zakrzewski). Unpublished extended version of this paper.
- Additivity of the ideal of microscopic sets, Topology and its Applications 204 (2016), 51—62.
- Ideal-like properties of generalized microscopic sets, Acta Mathematica Hungarica 150 (2016), 269—285 (with K. Czudek, N. Mrożek, and W. Wołoszyn).
- A note on a new ideal, Journal of Mathematical Analysis and Applications 430 (2015), 932—949.
- Topological representations, Journal of Mathematical Analysis and Applications 422 (2015), 1434—1446 (with M. Sabok).
- Ranks of -limits of filter sequences, Journal of Mathematical Analysis and Applications 398 (2013), 872—878 (with I. Recław).