Michael Hruvs'ak

activity

20172025

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4 papers · 1 filter

math.GN2019

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…

math.GN2018

Countable dense homogeneity and $λ$ -sets

Rodrigo Hernández-Gutiérrez, Michael Hrušák, Jan van Mill

We show that all sufficiently nice $λ$ -sets are countable dense homogeneous ( $CDH$ ). From this fact we conclude that for every uncountable cardinal $κ \leq b$ the…

math.GN2018

Non-meager $P$ -filters are Countable Dense Homogeneous

Rodrigo Hernández-Gutiérrez, Michael Hrušák

We prove that if $F$ is a non-meager $P$ -filter, then both $F$ and $^{ω} F$ are countable dense homogeneous spaces.

math.GN2018

Spaces of Remote Points

Rodrigo Hernández-Gutiérrez, Michael Hrušák, Angel Tamariz-Mascarúa

Given a Tychonoff space $X$ , let $ϱ (X)$ be the set of remote points of $X$ . We view $ϱ (X)$ as a topological space. In this paper we assume that $X$ is metrizable and as…

Strong measure zero in Polish groups

Countable dense homogeneity and λ-sets

Non-meager P-filters are Countable Dense Homogeneous

Spaces of Remote Points

Countable dense homogeneity and $λ$ -sets

Non-meager $P$ -filters are Countable Dense Homogeneous