Equivalents of the Axiom of Choice, II

Equivalents of the Axiom of Choice, II on ScienceDirect(Opens new window)

Published: MAR-1985
ISBN 10: 0-444-87708-8
ISBN 13: 978-0-444-87708-6
Imprint: NORTH-HOLLAND


By
H. Rubin
J.E. Rubin

Description
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.

Included in series
Studies in Logic and the Foundations of Mathematics


 
Last update: 11 Apr 2012