5 citations · 5 across the 1 of their papers we have counts for
5 papers
Categories internal to crossed modules
Tunçar Şahan, Jihad Jamil Mohammed
In this study, internal categories in the category of the crossed modules are characterized and it has been shown that there is a natural equivalence between the category of the cr…
Derived crossed modules
Tunçar Şahan
In this study, we interpret the notion of homotopy of morphisms in the category of crossed modules in a category of groups with operations using the categorical equiva…
Actor of categories internal to groups
Tunçar Şahan
In this study, using the Brown-Spencer theorem and in the ligth of the works of Norrie, in the category of internal categories within groups, also called group-groupoids, we interp…
Crossed modules, double group-groupoids and crossed squares
Sedat Temel, Tunçar Şahan, Osman Mucuk
In this paper using split extensions of group-groupoids we obtain the notion of crossed modules over group-grouoids which are also called 2-groups and we prove a categorical equiva…
Semi-homotopy and semi-fundamental groups
Ayhan Erciyes, Ali Aytekin, Tunçar Şahan
In this study we introduce the notions of semi-homotopy of semi-continuous maps and of semi-paths. We also construct a group structure, which will be called semi-fundamental group,…