Normality and quotient in crossed modules over groupoids and double groupoids

Authors: OSMAN MUCUK, SERAP DEMİR

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.

Keywords: Quotient crossed module, double groupoid, quotient double groupoid

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