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Equivalents of the Axiom of Choice, II

  • 1 Edición, Volumen 116 - 1 de marzo de 1985
  • Última edición
  • Autores: H. Rubin, J.E. Rubin
  • Idioma: Inglés

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… Leer más

Descripción

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.

Índice

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.

Detalles del producto

  • Edición: 1
  • Última edición
  • Volumen: 116
  • Publicado: 1 de marzo de 1985
  • Idioma: Inglés

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