4 papers
Reflections and Sheafifications in Algebraic and Topological Categories
Julio César Hernández Arzusa, Hernán Giraldo, Samir Rivero Castro
In this article, we develop an explicit categorical realization of sheafification based on colimits, products, and subobjects, emphasizing its behavior in algebraic and topological…
Pseudocompact and precompact subsemigroups of topological groups
Julio César Hernández Arzusa
In this paper we give sufficient conditions under which a subsemigroup of a topological group is a subgroup, adding to the results given in \cite{Kosh, can, axioms, forum, Hof, cc,…
A Note on Locally Compact Subsemigroups of Compact Groups
Julio César Hernández Arzusa
An elementary proof is given for the fact that every locally compact subsemigroup of a compact topological group is a closed subgroup. A sample consequence is that every commutativ…
Toplogical semigroups embedded into topological groups
Julio César Hernández Arzusa
In this paper we give conditions under which a topological semigroup can be embedded algebraically and topologically into a compact topological group. We prove that every feebly co…