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* tensor of cocomplete categories
@ 2019-10-25  2:45 Joseph Moeller
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From: Joseph Moeller @ 2019-10-25  2:45 UTC (permalink / raw)
  To: categories

Hello category theorists,

I've been working with tensor products of categories of
various degrees of cocompletion. What I mean is that I'm
considering categories which are J-cocomplete for some class
of small categories J, that is it has all colimits
of diagrams for all shapes in J. I know that Kelly gives a
tensor product for such things when J is small in section
6.5 of his book on Enriched Category Theory, but I'm working
with large J, including when J has all categories, and
then we're talking about cocomplete categories. I think these things
must have been considered somewhere, and I'm hoping you can
help me find a reference.

Joe Moeller (He/Him)
Graduate Student, Mathematics Department
University of California, Riverside


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