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Equivalents of the Axiom of Choice, II

1st Edition, Volume 116 - March 1, 1985

Authors: H. Rubin, J.E. Rubin

Language: English
eBook ISBN:
9 7 8 - 0 - 0 8 - 0 8 8 7 6 5 - 4

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… Read more

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.