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Equivalents of the axiom of choice, II

✍ Scribed by Herman Rubin

Book ID
127454418
Publisher
North-Holland
Year
1985
Tongue
English
Weight
3 MB
Series
Studies in logic and the foundations of mathematics 116
Category
Library
City
Amsterdam; New York :, New York, N.Y., U.S.A
ISBN
0080887651

No coin nor oath required. For personal study only.

✦ Synopsis

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 number theory, and a final section of forms from topology, analysis and logic. The second part deals with the axiom of choice for classes - well-ordering theorem, choice and maximal principles.

πŸ“œ SIMILAR VOLUMES

TWO TOPOLOGICAL EQUIVALENTS OF THE AXIOM
TWO TOPOLOGICAL EQUIVALENTS OF THE AXIOM OF CHOICE
✍ Eric Schechter; E. Schechter πŸ“‚ Article πŸ“… 1992 πŸ› John Wiley and Sons 🌐 English βš– 159 KB πŸ‘ 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.