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Investigation of the Equivalence of the Axiom of Choice and Zorn's Lemma from the Viewpoint of the Hierarchy of Types

✍ Scribed by J. Richard Büchi

Book ID
124954970
Publisher
Association for Symbolic Logic
Year
1953
Tongue
English
Weight
920 KB
Volume
18
Category
Article
ISSN
0022-4812

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📜 SIMILAR VOLUMES

Equivalents of the axiom of choice, II
Equivalents of the axiom of choice, II
✍ Herman Rubin 📂 Library 📅 1985 🏛 North-Holland 🌐 English ⚖ 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

TWO TOPOLOGICAL EQUIVALENTS OF THE AXIOM
TWO TOPOLOGICAL EQUIVALENTS OF THE AXIOM OF CHOICE
✍ Eric Schechter; E. Schechter 📂 Article 📅 1992 🏛 John Wiley and Sons 🌐 English ⚖ 159 KB 👁 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.