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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 …
Joel Dodge's user avatar
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