Equivalents of the Axiom of Choice II

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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.

Author(s): Herman Rubin
Series: Studies in Logic and the Foundations of Mathematics 116
Publisher: Elsevier Science Ltd
Year: 1985

Language: English
Pages: 352