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Questions that are about research in mathematics, or about the job of a research mathematician, without being mathematical problems or statements in the strictest sense. Do not use this tag for easy or supposedly easy mathematical questions.

9 votes

Is there a nice application of category theory to functional/complex/harmonic analysis?

At the suggestion of Yemon, I have moved my comment to an answer. The [Gelfand representation][1] [1]: http://en.wikipedia.org/wiki/Gelfand_representation gives an equivalence between the category of …
Chetan Vuppulury's user avatar
39 votes
5 answers
6k views

Why do categorical foundationalists want to escape set theory?

This is a question that I have seen asked passively in comments relating to the separation of category theory from set theory, but I haven't seen it addressed in full. I know that it's possible to fo …