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Results tagged with gn.general-topology
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user 461
Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
48
votes
19
answers
16k
views
What is your favorite proof of Tychonoff's Theorem?
Here is mine. It's taken from page 11 of "An Introduction To Abstract Harmonic Analysis", 1953, by Loomis:
https://archive.org/details/introductiontoab031610mbp
https://ia800309.us.archive.org/10/item …
- 6,353
7
votes
Accepted
Closedness of finite-dimensional subspaces
This holds indeed for complete fields: see Theorem 2, Section I.2.3, of Bourbaki's "Espaces Vectoriels Topologiques".
Here is the argument.
Let $K$ be a (not necessarily commutative) field equipped …
- 4,416