Normality and quotient in crossed modules over groupoids and double groupoids

2018/01/26 by Mucuk, Osman, Demir, Serap
#18D35 #20L05 #22A22 #Algebraic Topology (math.AT) #Category Theory (math.CT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1801.08762

Abstract

We consider the categorical equivalence between crossed modules over groupoids and double groupoids with thin structures; and by this equivalence, we prove how normality and quotient concepts are related in these two categories and give some examples of these objects.

Related

• Normality and quotient in crossed modules, cat¹-groups and internal groupoids within groups with operations
• Crossed extensions and equivalences of topological 2-groupoids
• The Category of Crossed Modules of Crossed Modules and Its Associated Double Groupoids
• Limits and colimits of crossed groups
• Homotopies and automorphisms of crossed modules of groupoids