4 citations · 7 across the 9 of their papers we have counts for
10 papers
Around Eggleston Theorem
Marcin Michalski, Robert Rałowski, Szymon Żeberski
The motivation of this work are the two classical theorems on inscribing rectangles and squares into large subsets of the plane, namely Eggleston Theorem and Mycielski Theorem. Usi…
Ideals with Smital properties
Marcin Michalski, Robert Rałowski, Szymon Żeberski
A -ideal on a Polish group has Smital Property if for every dense set and a Borel -positive set the algebraic sum is a complemen…
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…