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Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
0
votes
Groupoids vs. action groupoids
I might be wrong but at first glance, I would say "yes" to Question 1. The reason is the following. If a groupoid $\Gamma \rightrightarrows Y$ acts by automorphisms on a groupoid $A\rightrightarrows X …
3
votes
Group extensions and actions on categories
Such extensions are what D. Conduché called crossed 2-modules (in French: modules croisés de longueur 2) in his 1983 paper: Modules croisés généralisés de longueurs 2, J. Pure and Appl. Alg. Vol. 34, …
5
votes
Is there a nice application of category theory to functional/complex/harmonic analysis?
Of course the equivalence of categories mentioned by Eric A. Bunch is true only for commutative $C^\ast$-algebras. There however is a quite similar result for a wider category of non-commutative $C^\a …