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Two Equivalents of the Axiom of Choice

โœ Scribed by Truss, J.


Book ID
120097655
Publisher
Oxford University Press
Year
1972
Tongue
English
Weight
52 KB
Volume
s2-6
Category
Article
ISSN
0024-6107

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๐Ÿ“œ SIMILAR VOLUMES


TWO TOPOLOGICAL EQUIVALENTS OF THE AXIOM
โœ Eric Schechter; E. Schechter ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 159 KB ๐Ÿ‘ 1 views

## Abstract We show that the Axiom of Choice is equivalent to each of the following statements: (i) A product of closures of subsets of topological spaces is equal to the closure of their product (in the product topology); (ii) A product of complete uniform spaces is complete.

Equivalents of the axiom of choice, II
โœ Herman Rubin ๐Ÿ“‚ Library ๐Ÿ“… 1985 ๐Ÿ› North-Holland ๐ŸŒ English โš– 3 MB

This monograph contains a selection of over 250 propositions which are equivalent to AC. The first part on set forms has sections on the well-ordering theorem, variants of AC, the law of the trichotomy, maximal principles, statements related to the axiom of foundation, forms from algebra, cardinal n