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Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
10
votes
What is a reference for profinite sets?
I agree with some of the comments that "profinite set" is not a standard term. But you can certainly look at the category of pro-(finite sets). In other words, begin with the category $Set_f$ of fin …
8
votes
What is a good book on topological groups?
How about Weil's classic: "L'intégration dans les groupes topologiques et ses applications"? You won't find Kazhdan's Property T nor Tannaka reconstruction, but it treats the other topics deeply and …
8
votes
1
answer
1k
views
Ring of continuous functions, reference request.
I am looking for a reference for the following facts in functional analysis and topology. (If these "facts" are not true, I suppose I'm looking for the closest approximation which is true.)
Let $X$ …