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

5 votes
1 answer
1k views

How do I split a homotopy idempotent?

I want to check that the homotopy category of cochain complexes of an idempotent splitting, preadditive category is idempotent splitting. Let $a\xleftarrow{e}{}a$ be an idempotent chain map up to cha …
Eitan Chatav's user avatar
4 votes

What is an intuitive view of adjoints? (version 1: category theory)

Another intuitive notion for adjoint functors comes from the string diagram notation for $2$-categories. Functors are $1$-morphisms in the $2$-category $Cat$. Functors $D\xleftarrow L C$ and $C\xlefta …
Eitan Chatav's user avatar