Equivalents of the axiom of choice, II

Herman Rubin0444877088, 9780444877086, 9780080887654

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.