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pro vyhledávání: '"I. J. Tree"'
Publikováno v:
Proceedings of the American Mathematical Society. 126:1211-1218
It is a well established fact that in Zermelo-Fraenkel set theory, Tychonoff’s Theorem, the statement that the product of compact topological spaces is compact, is equivalent to the Axiom of Choice. On the other hand, Urysohn’s Metrization Theore
Autor:
I. J. Tree
Publikováno v:
Annals of the New York Academy of Sciences. 704:358-358
Publikováno v:
Proceedings of the American Mathematical Society; Apr1998, Vol. 126 Issue 4, p1211-1218, 8p
Autor:
I. J. Tree, Chris Good
Publikováno v:
ResearcherID
Various topological results are examined in models of Zermelo-Fraenkel set theory that do not satisfy the Axiom of Choice. In particular, it is shown that the proof of Urysohn's Metrization Theorem is entirely effective, whilst recalling that some ch
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