3 papers
math.GR2026
On the existence and properties of Alexandroff paratopological groups
Pedro J. Chocano, Tayomara Borsich
We study groups endowed with Alexandroff topologies and show that no non-discrete Alexandroff topology can turn a group into a topological group. This settles negatively the basic…
math.GN2026
On continuous homomorphisms from Alexandroff paratopological groups into topological groups
Tayomara Borsich, Pedro J. Chocano
Alexandroff paratopological groups provide a natural setting in which order-theoretic and algebraic properties interact. In this short note we prove obstruction results when consid…
math.GN2021
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…