✦ LIBER ✦

The Compactness of 2ℝ and the Axiom of Choice

✍ Scribed by Kyriakos Keremedis

Publisher: John Wiley and Sons
Year: 2000
Tongue: English
Weight: 103 KB
Volume: 46
Category: Article
ISSN: 0044-3050
DOI: 10.1002/1521-3870(200010)46:4<569::aid-malq569>3.0.co;2-j

No coin nor oath required. For personal study only.

✦ Synopsis

We show that for every well ordered cardinal number m the Tychonoff product 2 m is a compact space without the use of any choice but in Cohen's Second Model 2 R is not compact.

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