2 citations · 3 across the 9 of their papers we have counts for
17 papers
Duality and Baire like properties in topological abelian groups
María V. Ferrer, Salvador Hernández, Isabel Sepúlveda
This article investigates the duality of abelian topological groups by delving into the interplay between the algebraic and topological properties of a group and those of its d…
On closed subgroups of precompact groups
Salvador Hernández, Dieter Remus, F. Javier Trigos-Arrieta
It is a Theorem of W.~ W. Comfort and K.~ A. Ross that if is a subgroup of a compact Abelian group, and denotes those continuous homomorphisms from to the one-dimension…
Homomorphic encoders of profinite abelian groups II
María V. Ferrer, Salvador Hernández
Let be a family of finite Abelian groups. We say that a subgroup is \emph{order controllable} if for every the…
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 . A deep result due to Ernest \cite{Ernest1971} and Hughes \cite{Hughes1…
On convergent sequences in dual groups
M. V. Ferrer, S. Hernández, M. Tkachenko
We provide some characterizations of precompact abelian groups whose dual group endowed with the pointwise convergence topology on elements of contains a nontr…
Representation of Group Isomorphisms I
Marita Ferrer, Margarita Gary, Salvador Hernández
Let be a metric group and let $\sA ut(G)$ denote the automorphism group of . If $\sA$ and $\sB$ are groups of -valued maps defined on the sets and , respectively,…