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5
votes
1
answer
280
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3-functoriality of the lax Gray tensor product
Alternatively, is there an obstruction to 3-functoriality or 3-naturality? … I would be interested in knowing about partial references – e.g. for the 2-functoriality of the lax Gray tensor product, and 2-naturality of the associator and unitors – if no references for the 3-functoriality …
6
votes
0
answers
77
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A distributor between categories induces a distributor between their categories of presheaves
Let $P$ be a distributor/profunctor from a small category $A$ to a small category $B$, i.e. a functor $P : B^\circ \times A \to \mathrm{Set}$.
We may then define a distributor from $[A^\circ, \mathrm{ …