43 citations · 145 across the 12 of their papers we have counts for
5 papers · 1 filter
Coverings of internal groupoids and crossed modules in the category of groups with operations
H. Fulya Akız, Nazmiye Alemdar, Osman Mucuk +1
In this paper we prove some results on the covering morphisms of internal groupoids. We also give a result on the coverings of the crossed modules of groups with operations.
Covering groupoids of categorical groups
Osman Mucuk, Tunçar Şahan
If is a topological group, then its fundamental groupoid is a group-groupoid which is a group object in the category of groupoids. Further if is a path connected top…
Group-groupoid actions and liftings of crossed modules
Osman Mucuk, Tunçar Şahan
The aim of this paper is to define the notion of lifting of a crossed module via a group morphism and give some properties of this type of the lifting. Further we obtain a criterio…
Normality and quotient in crossed modules, cat-groups and internal groupoids within groups with operations
Tunçar Şahan, Osman Mucuk
In this paper we define the notions of normal subcrossed module and quotient crossed module within groups with operations; and using the equivalence of crossed modules over groups…
Coverings and crossed modules of topological groups with operations
Osman Mucuk, Tunçar Şahan
It is a well known result in the covering groups that a subgroup of the fundamental group at the identity of a semi-locally simply connected topological group determines a cove…