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Stream: theory: applied category theory

Topic: supply in a SMC

Nathanael Arkor (Jun 06 2020 at 17:37):

@Brendan Fong, @David Spivak: I'm trying to better understand the notion of "supply" in a SMC. It seems to me that if a SMC $\mathscr C$ homomorphically supplies a PROP $P$ it is equivalent to a category of models for $P$, assuming certain natural coherence conditions. Is this the case? Can something similar be said about non-homomorphic supply?