3 citations · 16 across the 19 of their papers we have counts for
22 papers
Smooth fans that are endpoint rigid
Rodrigo Hernández-Gutiérrez, Logan C. Hoehn
Let be a smooth fan and denote its set of endpoints by . Let be one of the following spaces: the natural numbers, the irrational numbers, or the product of the Cantor…
The hyperspace of non-cut subcontinua of graphs and dendrites
Rodrigo Hernández-Gutiérrez, Verónica Martínez-de-la-Vega, Jorge M. Martínez-Montejano +1
Given a continuum , let denote the hyperspace of all subcontinua of . In this paper we study the Vietoris hyperspace $NC^{*}(X)=\{ A \in C(X):X\setminus A\text{ is con…
A characterization of the product of the rational numbers and complete Erdős space
Rodrigo Hernández-Gutiérrez, Alfredo Zaragoza
Erdős space and complete Erdős space have been previously shown to have topological characterizations. In this paper, we provide a topological chara…
Pseudoradial spaces and copies of
Angelo Bella, Alan Dow, Rodrigo Hernández-Gutiérrez
In this paper we compare the concepts of pseudoradial spaces and the recently defined strongly pseudoradial spaces in the realm of compact spaces. We show that $\mathrm{MA}+\mathfr…
Countable dense homogeneity of function spaces
Rodrigo Hernández-Gutiérrez
In this paper we consider the question of when the space of continuous real-valued functions on with the pointwise convergence topology is countable dense homogeneous.…
Dendrites and symmetric products
Gerardo Acosta, Rodrigo Hernández-Gutiérrez, Verónica Martínez-de-la-Vega
For a given continuum and a natural number we consider the hyperspace of all nonempty subsets of with at most points, metrized by the Hausdorff metric. In…
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…
Countable Dense Homogeneity and the Double Arrow Space
Rodrigo Hernández-Gutiérrez
Let denote the Alexandroff-Urysohn double arrow space. We prove the following results: (a) is not countable dense homogeneous; (b) ${}^ω{\mat…
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…
Disconnectedness properties of Hyperspaces
Rodrigo Hernández-Gutiérrez, Angel Tamariz-Mascarúa
Let be a Hausdorff space and let be one of the hyperspaces , , or ( a positive integer) with the Vie…
A non-discrete space with 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 such that the remainder of in some compactification is Menger but not -c…
Countable dense homogeneity and the Cantor set
Rodrigo Hernández-Gutiérrez
It is shown that CH implies the existence of a compact Hausdorff space that is countable dense homogeneous, crowded and does not contain topological copies of the Cantor set. This…
A fixed-point-free map of a tree-like continuum induced by bounded valence maps on trees
Rodrigo Hernández-Gutiérrez, L. C. Hoehn
Towards attaining a better working understanding of fixed points of maps of tree-like continua, Oversteegen and Rogers constructed a tree-like continuum with a fixed-point-free sel…
Homogeneity degree of some symmetric products
Rodrigo Hernández-Gutiérrez, Verónica Martínez-de-la-Vega
For a metric continuum , we consider the -symmetric product defined as the hyperspace of all nonempty subsets of with at most points. Th…
Reversible filters
Alan Dow, Rodrigo Hernández-Gutiérrez
A space is reversible if every continuous bijection of the space onto itself is a homeomorphism. In this paper we study the question of which countable spaces with a unique non-iso…
Far points and discretely generated spaces
Alan Dow, Rodrigo Hernández-Gutiérrez
We give a partial solution to a question by Alas, Junqueria and Wilson by proving that under PFA the one-point compactification of a locally compact, discretely generated and count…
Uniform Powers of Compacta and the Proximal Game
Rodrigo Hernández-Gutiérrez, Paul J. Szeptycki
The countable uniform power (or uniform box product) of a uniform space is a special topology on that lies between the Tychonoff topology and the box topology. We solve…
Some observations on filters with properties defined by open covers
Rodrigo Hernández-Gutiérrez, Paul J. Szeptycki
We study the relation between the Hurewicz and Menger properties of filters considered topologically as subspaces of P(ω) with the Cantor set topology.
Wijsman hyperspaces of non-separable metric spaces
Rodrigo Hernández-Gutiérrez, Paul Szeptycki
Given a metric space , consider its hyperspace of closed sets with the Wijsman topology . It is known that is…
A Whitney map onto the Long Arc
Rodrigo Hernández-Gutiérrez
In a recent paper, Garc\'ıa-Velazquez has extended the notion of Whitney map to include maps with non-metrizable codomain and left open the question of whether there is a continuum…
Remote Filters and Discretely Generated Spaces
Rodrigo Hernández-Gutiérrez
Alas, Junqueira and Wilson asked whether there is a discretely generated locally compact space whose one point compactification is not discretely generated and gave a consistent ex…