Further remarks on liftings of crossed modules
Loading...
Date
2019
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Hacettepe Üniversitesi
Access Rights
info:eu-repo/semantics/embargoedAccess
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.
Description
Keywords
Crossed Module, Lifting, Groupoid Action, Derivation
Journal or Series
Hacettepe Journal of Mathematics and Statistics
WoS Q Value
N/A
Scopus Q Value
Q2
Volume
48
Issue
3
