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L'axiome de normalité pour les espaces totalement ordonnés
Published online by Cambridge University Press: 12 March 2014
Abstract
We show that the following property (LN) holds in the basic Cohen model as sketched by Jech: The order topology of any linearly ordered set is normal. This proves the independence of the axiom of choice from LN in ZF, and thus settles a question raised by G. Birkhoff (1940) which was partly answered by van Douwen (1985).
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- Copyright © Association for Symbolic Logic 1990
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