Michael Hruvs'ak

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20172025

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Showing 2018 · math.GNShow all

3 papers · 2 filters

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…

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