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Baire space and second category extensions

โœ Scribed by John W. Carlson


Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
902 KB
Volume
12
Category
Article
ISSN
0166-8641

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๐Ÿ“œ SIMILAR VOLUMES


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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

Density and Baire category in recursive
โœ Iraj Kalantari; Larry Welch ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 178 KB

## Abstract We develop the concepts of recursively nowhere dense sets and sets that are recursively of first category and study closed sets of points in light of Baire's Category Theorem. Our theorems are primarily concerned with exdomains (i. e. complements of domains) of recursive quantum functio