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May 8, 2020 at 22:39 history edited Daniel Copeland CC BY-SA 4.0
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May 8, 2020 at 22:34 comment added Daniel Copeland The functor $(1_C, \gamma)$ is the identity on objects and morphisms, and the monoidal structure maps $g \otimes h \to g \otimes h$ are given by $\gamma(g,h)$ times the identity of the object $gh$ (the cocycle condition ensures that the axioms for a monoidal functor are satisfied, and two cocycles which differ by a coboundary give monoidally naturally isomorphic functors)
May 8, 2020 at 22:28 history edited Daniel Copeland CC BY-SA 4.0
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May 7, 2020 at 21:35 comment added jijijojo Could you please say a little bit more how the functor $(1_C,\gamma):C\to C$ is defined?
Jul 16, 2019 at 0:10 history answered Daniel Copeland CC BY-SA 4.0