Details

Autor(en) / Beteiligte

• Rubin, Herman
• Rubin, Jean E

Titel

Equivalents of the axiom of choice [electronic resource]. II

Link zum Volltext

• Elsevier Books AutoHoldings

Beschreibungen/Notizen

• Description based upon print version of record.
• Includes bibliography and indexes.
• Front Cover; Equivalents of the Axiom of Choice, II; Copyright Page; Preface (1963 Edition); Preface (1985 Edition); Table of Contents; Introduction; Preliminary Definitions And Theorems; Part I: Set Forms; Chapter 1. The Well-Ordering Theorem; Chapter 2. The Axiom of Choice; Chapter 3. The Law of the Trichotomy; Chapter 4. Maximal Principles; Chapter 5. Forms Equivalent to the Axiom of Choice Under the Axioms of Extensionality and Foundation; Chapter 6. Algebraic Forms; Chapter 7. Cardinal Number Forms; Chapter 8. Forms from Topology, Analysis and Logic; Part II: Class Forms
• Chapter 1. The Well-Ordering TheoremChapter 2. The Axiom of Choice; Chapter 3. Maximal Principles; List of the Set Forms; List of the Class Forms; List of Forms Related to the Axiom of Choice; Bibliography; Index of Authors; Index of Symbols; Index of Technical Terms
• 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.
• English