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Compactness and the axiom of choice

โœ Scribed by Horst Herrlich

Publisher
Springer
Year
1996
Tongue
English
Weight
716 KB
Volume
4
Category
Article
ISSN
0927-2852

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๐Ÿ“œ SIMILAR VOLUMES

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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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## Abstract This is a continuation of [2]. We study the Tychonoff Compactness Theorem for various definitions of compactness and for various types of spaces (first and second countable spaces, Hausdorff spaces, and subspaces of โ„^__K__^). We also study well ordered Tychonoff products and the effect