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Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.

4 votes

Are nets and filters useful in geometry and topology?

Those in functional analysis should read the book Beattie R, Butzmann H P : Convergence Structures and Applications to Functional Analysis. Kluwer, Dordrecht, 2002, and see how incredibly useful is to …
ron l winger's user avatar
2 votes
1 answer
2k views

Why not usual topology in measure theory ?

Measure theory was introduced in the early 1900s by Lebesgue, at the same time with Hausdorff introducing the usual concept of topology, and publishing it in his book just before World War I. Measure …
ron l winger's user avatar