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1
vote
Is there a name for (pre)sheaves satisfying this transitivity condition?
I am not well-versed in these matters, but I believe Olivia Caramello uses something like this in her toposical formulation of Galois theory. See her paper and, if you can understand French, this brie …
9
votes
1
answer
556
views
"'Category' was defined in order to define 'functor', which was defined in order to define '...
I am looking for the source (and original version) of the above oft-repeated quotation. Mac Lane mentions it in Categories for the Working Mathematician, attributing it to Eilenberg-Mac Lane; however, …
5
votes
Ways to prove the fundamental theorem of algebra
I don't have it on hand, but Ronald Solomon's Abstract Algebra has an interesting proof using symmetric polynomials and induction on the 2-adic valuation of the degree.
3
votes
2
answers
741
views
Localization of symmetric monoidal category
Let $\mathcal M$ be a symmetric monoidal category, $S\subset \mathcal M$ a collection of objects and morphisms. I would like to construct the localization $\mathcal M \mathop{\longrightarrow}^T \mathc …