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5
votes
Crossed modules in context of gerbes
This answer is meant to elaborate on my remark above concerning crossed modules as models for 2-groupoids. A crossed module consists of a group $G$ acting on a group $H$, together with a $G$-equivaria …
6
votes
Accepted
strict 2-groups VS crossed modules
Let us prove the analogous claim for weak 2-groups (this implies, in particular, the strict case). Let $\mathcal{C}$ be a monoidal category with unit $\mathbb{I} \in \mathcal{C}$.
Claim: Suppose the …