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Results tagged with ct.category-theory
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user 40804
Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
147
votes
10
answers
16k
views
What non-categorical applications are there of homotopical algebra?
(To be honest, I actually mean something more general than 'homotopical algebra' - topos theory, $\infty$-categories, operads, anything that sounds like its natural home would be on the nLab.)
More …
17
votes
Accepted
Are different categories of manifolds non-equivalent (as abstract categories)?
Your method of looking for automorphisms of objects works for $C^k$ manifolds as well, $0 < k \le \infty$. This follows from a result of Filipkiewicz (which I found in Kathryn Mann's excellent survey) …
- 9,580