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Results tagged with ct.category-theory
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user 8818
Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
5
votes
Accepted
Bousfield-Kan: Cosimplicial Replacement of a fibration of diagrams is a fibration?
First I would like to refer you Goerss and Jardine's book "Simplicial homotopy theory" as an alternative resource, with modern typesetting. In particular, Example VII.4.2 gives a construction of the c …
- 1,738
15
votes
Why are monads useful?
I would say first that monads are useful in that they offer a level of abstraction that can be used to describe lots of different algebraic phenomena. That is, categories of groups, abelian groups, ri …
6
votes
Computations in $\infty$-categories
I believe that many computations could be done in the context of $\infty$-categories given enough outside input. For example, I would expect that most of the spectral sequences arising in topology cou …
- 1,738