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Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
11
votes
What's a groupoid? What's a good example of a groupoid?
I never think about groupoids in any technical sense, but my favorite easy example of one can be built out of a separable field extension K/k. It is the category whose points are the subfields of the …
72
votes
Accepted
Does "finitely presented" mean "always finitely presented"? (Answered: Yes!)
$\require{begingroup} \begingroup$
$\def\coker{\operatorname{Coker}}$
$\def\im{\operatorname{Im}}$
Suppose that we have a short exact sequence $0 \to K \to R^m \to M \to 0$ with $K$ finitely genera …