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Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.

9 votes
Accepted

Is Stoch enriched in Met?

A way to enrich $\mathsf{Stoch}$ could be as follows. Let $X$ be a measurable space and let $PX$ be the space of probability measures over $X$. We can equip $PX$ with the total variational distance, w …
Paolo Perrone's user avatar
27 votes

Big list of comonads

Here are the examples of comonads that I personally find most helpful. First from topology: The universal covering is an idempotent comonad on (suitably nice) pointed topological spaces. The functor …