4 papers
On the existence of topologies compatible with a group duality with predetermined properties
Tayomara Borsich, Xabier Domínguez, Elena Martín-Peinador
The paper deals with group dualities. A group duality is simply a pair where is an abstract abelian group and a subgroup of characters defined on . A group topo…
Extensions of topological Abelian groups and three-space problems
Hugo J. Bello, María Jesús Chasco, Xabier Domínguez
A twisted sum in the category of topological abelian groups is a short exact sequence where all maps are assumed to be continuous and open onto their image…
Locally Minimal Topological Groups 2
Lydia Aussenhofer, María Jesús Chasco, Dikran Dikranjan +1
We continue in this paper the study of locally minimal groups started in \cite{LocMin}. The minimality criterion for dense subgroups of compact groups is extended to local minimali…
Locally minimal topological groups
Lydia Außenhofer, María Jesús Chasco, Dikran Dikranjan +1
A Hausdorff topological group is called locally minimal if there exists a neighborhood of 0 in such that fails to be a neighborhood of zero in any Hausdorff gro…