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arxiv: 1801.08762 · v1 · pith:4HAAHR23new · submitted 2018-01-26 · 🧮 math.CT · math.AT

Normality and quotient in crossed modules over groupoids and double groupoids

classification 🧮 math.CT math.AT
keywords groupoidscrosseddoubleequivalencemodulesnormalityquotientcategorical
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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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