3 citations · 3 across the 4 of their papers we have counts for
5 papers
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…