3 citations · 3 across the 5 of their papers we have counts for
6 papers
Combinatorics of translations of meager and closed measure zero sets
Aleksander Cieślak
We study combinatorial properties of translations of meager and closed sets of measure zero. We discuss constellations of Borel conjectures for related classes of small sets and sh…
On Star operation and some ideals on the Baire space
Aleksander Cieślak, Daria Perkowska, Szymon Żeberski
We investigate several -ideals on the Baire space , introducing and studying the ideals and , alongside the classical ideals…
On antichain numbers and the splitting ideal
Aleksander Cieślak
In this article, we study combinatorial properties of a certain ideal on , called the \emph{Splitting ideal}. We calculate its cardinal invariants and its position in the Katěto…
Cardinal invariants of idealized Miller null sets
Aleksander Cieślak, Takehiko Gappo, Arturo Martínez-Celis +1
This paper provides an extensive study of the -Miller null ideals , -ideals on the Baire space parametrized by ideals on countable sets…
On ideals related to Laver and Miller trees
Aleksander Cieślak, Arturo Martínez-Celis
In this work we consider the ideals and , ideals generated by the -positive Miller trees and -positive Laver trees…
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…