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Results tagged with big-list
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user 4262
Questions designed to generate a "big list" of certain results, examples, conjectures, etc. via many individual answers, each contributing one or a few instances. Such a question should typically be in Community Wiki mode (CW); after asking, please, flag for moderators attention requesting the question to be made CW.
21
votes
The main theorems of category theory and their applications
Monadicity theorems like Beck's give sufficient conditions on a functor $U \colon B \to A$ with a left adjoint F to be equivalent (in the slice category Cat/A) to the forgetful functor out of the cate …
14
votes
Is there a nice application of category theory to functional/complex/harmonic analysis?
First, a disclaimer: I am not even close to being an analyst. Second, I don't know of any applications of category theory to the areas of analysis that you mention. I don't think we have got to that …
11
votes
The main theorems of category theory and their applications
There was some discussion here about special cases of Yoneda's lemma, including the usual examples of Cayley's theorem for groups and Dedekind's embedding theorem for posets.
It also seems that a goo …
3
votes
Fiction books about mathematicians?
Kepler by John Banville is a sort of 'fictional biography'. Banville is a Booker prize winner, very highly regarded. His prose is some of the most beautiful, dense and lyrical I've ever read, and I' …