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The Compactness of 2^R and the Axiom of Choice
Mathematical Logic Quarterly 46 (4):569-571 (2000)
Abstract
We show that for every we ordered cardinal number m the Tychonoff product 2m is a compact space without the use of any choice but in Cohen's Second Mode 2ℝ is not compactLinks
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Citations of this work
Notions of compactness for special subsets of ℝ I and some weak forms of the axiom of choice.Marianne Morillon - 2010 - Journal of Symbolic Logic 75 (1):255-268.
The Boolean prime ideal theorem and products of cofinite topologies.Kyriakos Keremedis - 2013 - Mathematical Logic Quarterly 59 (6):382-392.
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