3 citations · 3 across the 4 of their papers we have counts for
5 papers
Universal sets for ideals
Aleksander Cieślak, Marcin Michalski
In this paper we consider a notion of universal sets for ideals. We show that there exist universal sets of minimal Borel complexity for classic ideals like null subsets of a…
A note on sets avoiding rational distances
Marcin Michalski
In this paper we shall give a short proof of the result originally obtained by Ashutosh Kumar that for each there exists full in such that no…
On some relations between properties of invariant -ideals in Polish spaces
Marcin Michalski
In this paper we shall consider a couple of properties of -ideals and study relations between them. Namely we will prove that -cc -ideals are tall and that the…
Rediscovered theorem of Luzin
Marcin Michalski
In 1934 N. N. Luzin proved in his short (but dense) paper \textit{Sur la decomposition des ensembles} that every set can be decomposed into two full, with r…
Mycielski among trees
Marcin Michalski, Robert Rałowski, Szymon Żeberski
Two-dimensional version of the classical Mycielski theorem says that for every comeager or conull set there exists a perfect set such that $…