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Baire Category Principle and Uniqueness Theorem

✍ Scribed by J. S. Hwang


Book ID
125695575
Publisher
American Mathematical Society
Year
1981
Tongue
English
Weight
974 KB
Volume
266
Category
Article
ISSN
0002-9947

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The Baire Category Theorem and choice
✍ Horst Herrlich; Kyriakos Keremedis πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 95 KB

The status of the Baire Category Theorem in ZF (i.e., Zermelo-Fraenkel set theory without the Axiom of Choice) is investigated. Typical results: 1. The Baire Category Theorem holds for compact pseudometric spaces. 2. The Axiom of Countable Choice is equivalent to the Baire Category Theorem for co