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Abstract
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.
...an exhaustive survey... the second edition of this book is considerably thicker than the first... It is likely to be the standard reference work on this topic for some time to come.
Journal of Symbolic Logic