Further remarks on liftings of crossed modules
Category Theory
2018-03-23 v1 Algebraic Topology
Abstract
In this paper we define the notion of pullback lifting of a lifting crossed module over a crossed module morphism and interpret this notion in the category of group-groupoid actions as pullback action. Moreover, we give a criterion for the lifting of homotopic crossed module morphisms to be homotopic, which will be called homotopy lifting property for crossed module morphisms. Finally, we investigate some properties of derivations of lifting crossed modules according to base crossed module derivations.
Keywords
Cite
@article{arxiv.1704.07257,
title = {Further remarks on liftings of crossed modules},
author = {Tunçar Şahan},
journal= {arXiv preprint arXiv:1704.07257},
year = {2018}
}
Comments
14 pages, research paper, LaTeX2e, xypic. arXiv admin note: text overlap with arXiv:1703.10426