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

collaborators

18 papers

math.AT2026

Weak split extensions of topological Abelian groups

María V. Ferrer, Salvador Hernández-Muñoz, Luis Javier Hernández-Paricio

In the category of topological Abelian groups, we consider the usual notion of an extension $E = (B \to X \to A)$ of $B$ by $A$ , together with the notion of a weakly split extension,…

math.FA2023

Tensor products of topological abelian groups and Pontryagin duality

María V. Ferrer, Julio Hernández-Arzusa, Salvador Hernández

Let $G$ be the group of all $\ZZ$-valued homomorphisms of the Baer-Specker group $\ZZ^\NN$. The group $G$ is algebraically isomorphic to $\ZZ^{(\NN)}$, the infinite direct sum of t…

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.GR2021

Homomorphic encoders of profinite abelian groups I

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.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…