Rodrigo Hern'andez-Guti'errez

activity

20132022

most citedCountable dense homogeneity of function spaces

3 citations · 16 across the 19 of their papers we have counts for

collaborators

Showing 2018Show all

7 papers · 1 filter

math.GN2018

Dendrites and symmetric products

Gerardo Acosta, Rodrigo Hernández-Gutiérrez, Verónica Martínez-de-la-Vega

For a given continuum $X$ and a natural number $n,$ we consider the hyperspace $F_{n} (X)$ of all nonempty subsets of $X$ with at most $n$ points, metrized by the Hausdorff metric. In…

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

Countable Dense Homogeneity and the Double Arrow Space

Rodrigo Hernández-Gutiérrez

Let $A$ denote the Alexandroff-Urysohn double arrow space. We prove the following results: (a) $A \times^{ω} 2$ is not countable dense homogeneous; (b) ${}^ω{\mat…

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…

math.GN2018★ 2 cited

Disconnectedness properties of Hyperspaces

Rodrigo Hernández-Gutiérrez, Angel Tamariz-Mascarúa

Let $X$ be a Hausdorff space and let $H$ be one of the hyperspaces $C L (X)$ , $K (X)$ , $F (X)$ or $F_{n} (X)$ ( $n$ a positive integer) with the Vie…

math.GN2018★ 2 cited

A non-discrete space $X$ with $C_{p} (X)$ Menger at infinity

Angelo Bella, Rodrigo Hernández-Gutiérrez

In a paper by Bella, Tokgös and Zdomskyy it is asked whether there exists a Tychonoff space $X$ such that the remainder of $C_{p} (X)$ in some compactification is Menger but not $σ$ -c…

Dendrites and symmetric products

Countable dense homogeneity and λ-sets

Countable Dense Homogeneity and the Double Arrow Space

Non-meager P-filters are Countable Dense Homogeneous

Spaces of Remote Points

Disconnectedness properties of Hyperspaces

A non-discrete space X with Cp​(X) Menger at infinity

Countable dense homogeneity and $λ$ -sets

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

A non-discrete space $X$ with $C_{p} (X)$ Menger at infinity