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The Tychonoff product theorem for compact Hausdorff spaces does not imply the axiom of choice: a new proof. Equivalent propositions

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Rodríguez Salinas, Baltasar and Bombal Gordón, Fernando (1973) The Tychonoff product theorem for compact Hausdorff spaces does not imply the axiom of choice: a new proof. Equivalent propositions. Collectanea mathematica, 24 . pp. 219-230. ISSN 0010-0757

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Official URL: http://www.collectanea.ub.edu/index.php/Collectanea/article/view/3413/4093




Abstract

The main result of this paper is expressed by its title. The authors also show that the Tihonov product theorem for compact Hausdorff spaces is logically equivalent to some basic theorems in topology and functional analysis, commonly proved using the axiom of choice


Item Type:Article
Uncontrolled Keywords:Product spaces; Set theory
Subjects:Sciences > Mathematics > Mathematical analysis
ID Code:17842
Deposited On:22 Jan 2013 12:38
Last Modified:19 Feb 2019 12:11

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