6 papers
Strong measure zero in Polish groups
Michael Hrušák, Ondřej Zindulka
The notion of strong measure zero is studied in the context of Polish groups. In particular, the extent to which the theorem of Galvin, Mycielski and Solovay holds in the context o…
On -embeddability of almost disjoint families and Akemann-Doner C*-algebras
Osvaldo Guzmán, Michael Hrušák, Piotr Koszmider
An almost disjoint family of subsets of is said to be -embeddable if there is a function such that the sets $…
Countable dense homogeneity and -sets
Rodrigo Hernández-Gutiérrez, Michael Hrušák, Jan van Mill
We show that all sufficiently nice -sets are countable dense homogeneous (). From this fact we conclude that for every uncountable cardinal the…
Non-meager -filters are Countable Dense Homogeneous
Rodrigo Hernández-Gutiérrez, Michael Hrušák
We prove that if is a non-meager -filter, then both and are countable dense homogeneous spaces.
Spaces of Remote Points
Rodrigo Hernández-Gutiérrez, Michael Hrušák, Angel Tamariz-Mascarúa
Given a Tychonoff space , let be the set of remote points of . We view as a topological space. In this paper we assume that is metrizable and as…
No minimal tall Borel ideal in the Katětov order
Jan Grebík, Michael Hrušák
Answering a question of the second listed author we show that there is no tall Borel ideal minimal among all tall Borel ideals in the Katětov order.