Equivalents of the axiom of choice, II [E-Book] / Herman Rubin and Jean E. Rubin.
Rubin, Herman.
Rubin, Jean E.
Amsterdam ; New York : New York, N.Y., U.S.A. : North-Holland ; 1985
Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
1 online resource (xxviii, 322 p.)
Studies in logic and the foundations of mathematics ; v. 116
Full Text
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.