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Normality and quotient in crossed modules over groupoids and double groupoids

Published 26 Jan 2018 in math.CT and math.AT | (1801.08762v1)

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.

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