M. Ferrer

activity

20102026

most citedThe character of topological groups, via bounded systems, Pontryagin--van Kampen duality and pcf theory

15 citations · 25 across the 11 of their papers we have counts for

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12 papers · 1 filter

math.GN2021

Homomorphic encoders of profinite abelian groups II

María V. Ferrer, Salvador Hernández

Let ${G_{i} : i \in N}$ be a family of finite Abelian groups. We say that a subgroup $G \leq i \in N \prod G_{i}$ is \emph{order controllable} if for every $i \in N$ the…

math.GN2021

The weak compactification of locally compact groups

María V. Ferrer, Salvador Hernández

We further investigate the weak topology generated by the irreducible unitary representations of a group $G$ . A deep result due to Ernest \cite{Ernest1971} and Hughes \cite{Hughes1…

math.GN2019

On convergent sequences in dual groups

M. V. Ferrer, S. Hernández, M. Tkachenko

We provide some characterizations of precompact abelian groups $G$ whose dual group $G_{p}^{\land}$ endowed with the pointwise convergence topology on elements of $G$ contains a nontr…

math.GN2017

Interpolation sets in spaces of continuous metric-valued functions

María V. Ferrer, Salvador Hernández, Luis Tárrega

Let $X$ and $M$ be a topological space and metric space, respectively. If $C (X, M)$ denotes the set of all continuous functions from X to M, we say that a subset $Y$ of $X$ is an \e…

math.GN2017

A dichotomy property for locally compact groups

Marita Ferrer, Salvador Hernández, Luis Tárrega

We extend to metrizable locally compact groups Rosenthal's theorem describing those Banach spaces containing no copy of $l_{1}$ . For that purpose, we transfer to general locally comp…

math.GN2016

A classification of the cofinal structures of precompacta

Aviv Eshed, M. Vincenta Ferrer, Salvador Hernández +2

We provide a complete classification of the possible cofinal structures of the families of precompact (totally bounded) sets in general metric spaces, and compact sets in general c…