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Results tagged with gn.general-topology
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user 10901
Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
5
votes
What is your favorite proof of Tychonoff's Theorem?
I'm surprised that nobody has mentioned the proof using universal nets. (It can be found, e.g., in Pedersen's 'Analysis NOW' and in Bredon's 'Topology and geometry'.)
A universal net in a set X is a …
4
votes
What is your favorite proof of Tychonoff's Theorem?
I have been teaching general topology for several years, but remained unsatisfied by the proofs given in the books that I based the course upon. Finally I wound up writing my own lecture notes, still …
2
votes
Applications of Brouwer's fixed point theorem
The Perron-Frobenius theorem (in various degrees of generality) is an easy consequence of Brouwer's fixed-point theorem.