Equivalents of the Axiom of Choice, II

Equivalents of the Axiom of Choice, II

1st Edition - March 1, 1985

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  • Authors: H. Rubin, J.E. Rubin
  • eBook ISBN: 9780080887654

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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.

Table of Contents

  • Set Forms. The Well-Ordering Theorem. The Axiom of Choice. The Law of the Trichotomy. Maximal Principles. Forms Equivalent to the Axiom of Choice Under the Axioms of Extensionality and Foundation. Algebraic Forms. Cardinal Number Forms. Forms from Topology, Analysis and Logic.
    Class Forms. The Well-Ordering Theorem. The Axiom of Choice. Maximal Principles. List of the Set Forms. List of the Class Forms. List of Forms Related to the Axiom of Choice. Bibliography. Index.

Product details

  • No. of pages: 321
  • Language: English
  • Copyright: © North Holland 1985
  • Published: March 1, 1985
  • Imprint: North Holland
  • eBook ISBN: 9780080887654

About the Authors

H. Rubin

J.E. Rubin

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