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You are not logged in. #1 20100507 05:24:21
Tychonoff’s theoremTychonoff’s theorem: http://z8.invisionfree.com/DYK/index.php?showtopic=900 Tychonoff’s theorem has applications in modern analysis. It is also used to prove the Heine–Borel theorem, namely that all closed and bounded subspaces of are compact. #2 20100512 05:48:21
Re: Tychonoff’s theoremMore about Tychonoff’s theorem. Tychonoff’s theorem in the infinite case is equivalent to the axiom of choice. The converse to Tychonoff’s theorem is also true because if is compact, then each , being a continous projection of , must be compact as well. #3 20100514 05:06:29
Re: Tychonoff’s theoremOh, and Andrey Nikolayevich Tychonoff (1906–93) was a Russian mathematician. 