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Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
10
votes
2
answers
546
views
Equivalences of Internal Categories
I am trying to understand double categories and their relatives a little better. I do not understand much, so I apologize in advance if my question is too naive for this website.
A functor $F:X \rig …
18
votes
Accepted
Internal categories in simplicial sets
A category object internal to simplicial sets is the same as a Segal space in which the Segal conditions hold on the nose instead of merely up to weak equivalence. In other words, a category is somet …