On fibrations between internal groupoids
Category Theory
2017-07-05 v1
Abstract
In order to deduce the internal version of the Brown exact sequence from the internal version of the Gabriel-Zisman exact sequence, we characterize fibrations and -fibrations in the 2-category of internal groupoids in terms of the comparison functor from certain pullbacks to the corresponding strong homotopy pullbacks. A similar analysis in the category of arrows allows us to give a characterization of protomodular categories using strong homotopy kernels.
Cite
@article{arxiv.1707.00868,
title = {On fibrations between internal groupoids},
author = {P. -A. Jacqmin and S. Mantovani and G. Metere and E. M. Vitale},
journal= {arXiv preprint arXiv:1707.00868},
year = {2017}
}