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Results tagged with ct.category-theory
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user 36625
Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
14
votes
What are $( \infty , n)$-categories useful for?
In my humble opinion, the fact that such a structure appears naturally on bordisms between manifolds (eventually with some additional geometric structure like framings) is already a very good motivati …
- 1,609
10
votes
1
answer
557
views
Tannakian formalism for topological Hopf algebras
Tannaka-Krein duality allows, under the appropriate assumptions, to reconstruct a Hopf algebra from its category of modules. This method was found to be powerful for instance in the work of Etingof-Ka …
- 1,609
4
votes
1
answer
230
views
Factorization of morphisms in a diagram category
Let us suppose that $I$ is a small category and $\mathcal{E}$ a combinatorial model category. Then there exists two Quillen equivalent combinatorial model category structures on the diagram category $ …
- 1,609