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Compactness in Countable Tychonoff Products and Choice

✍ Scribed by Paul Howard; Kyriakos Keremedis; Jean E. Rubin; Adrienne Stanley

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
280 KB
Volume
46
Category
Article
ISSN
0044-3050

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πŸ“œ SIMILAR VOLUMES

Products of Compact Spaces and the Axiom
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✍ Omar De la Cruz; Eric Hall; Paul Howard; Kyriakos Keremedis; Jean E. Rubin πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 156 KB πŸ‘ 1 views
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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 ℝ^__K__^). We also study well ordered Tychonoff products and the effect

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## Abstract We study the role that the axiom of choice plays in Tychonoff's product theorem restricted to countable families of compact, as well as, LindelΓΆf metric spaces, and in disjoint topological unions of countably many such spaces. (Β© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)