Categories internal to crossed modules
Category Theory
2019-05-13 v2 Algebraic Topology
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 the 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.
Cite
@article{arxiv.1901.04694,
title = {Categories internal to crossed modules},
author = {Tunçar Şahan and Jihad Jamil Mohammed},
journal= {arXiv preprint arXiv:1901.04694},
year = {2019}
}
Comments
16 pages, research paper, LaTeX2e, xypic, accepted for publication in Sakarya University Journal of Science