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Emily (Apr 08 2021 at 21:25):Have categories enriched in a promonoidal category been considered before?
(I don't have anything in mind to do with these, I'm just curious since this seems a natural thing to consider)
John Baez (Apr 08 2021 at 22:41):Hmm, interesting - I've never seen that. Did you check that the concept makes sense? E.g.,do you get a category of categories enriched in a promonoidal category, and functors between these?
Mike Shulman (Apr 09 2021 at 01:33):I think this is probably a special case of categories enriched in a multicategory.
Emily (Apr 09 2021 at 09:56):@John Baez Not really; I was mainly hoping that maybe this might have been worked out somewhere in the literature already