3 papers
math.CT2018
Covering morphisms of internal groupoids in the models of a semi-abelian theory
Osman Mucuk, Serap Demir
In this paper, for given an algebraic theory whose category of models is semi-abelian, we consider the topological models of called topological -algebras and obtain…
math.CT2018
Topological aspect of monodromy groupoid for a group-groupoid
Osman Mucuk, Serap Demir
In this paper we develop star topological and topological group-groupoid structures of monodromy groupoid and prove that the monodromy groupoid of a topological group-groupoid is a…
math.CT2018
Normality and quotient in crossed modules over groupoids and double groupoids
Osman Mucuk, Serap Demir
We consider the categorical equivalence between crossed modules over groupoids and double groupoids with thin structures; and by this equivalence, we prove how normality and quotie…