Categories internal to crossed modules

Authors : Tunçar ŞAHAN, Jihad Jamil MOHAMMED

Pages : 519-531

Doi:10.16984/saufenbilder.472805

View : 12 | Download : 9

Publication Date : 2019-08-01

Article Type : Research Paper

Abstract :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 crossed modules over crossed modules, i.e. crossed squares and the category of the internal categories within the category of crossed modules. Finally, we obtain examples of crossed squares using this equivalence.
Keywords : Crossed module, internal category, crossed square