Crossed-modules and Whitehead sequences
Category Theory
2015-05-29 v1
Abstract
We introduce the notion of Whitehead sequence which is defined for a base category together with a system of abstract actions over it. In the classical case of groups and group actions the Whitehead sequences are precisely the crossed-modules of groups. For a general setting we give sufficient conditions for the existence of a categorical equivalence between internal groupoids and Whitehead sequences.
Keywords
Cite
@article{arxiv.1505.07782,
title = {Crossed-modules and Whitehead sequences},
author = {Nelson Martins-Ferreira},
journal= {arXiv preprint arXiv:1505.07782},
year = {2015}
}