Equivalents of the Axiom of Choice, II ( Volume 116 )

Publication series ：Volume 116

Author： Rubin   H.;Rubin   J. E.  

Publisher： Elsevier Science‎

Publication year： 1985

E-ISBN: 9780080887654

P-ISBN(Paperback): 9780444877086

P-ISBN(Hardback):  9780444877086

Subject： O144 Set Theory

Language： ENG

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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.

Chapter

Front Cover

pp.：  1 – 4

Equivalents of the Axiom of Choice, II

pp.：  4 – 5

Copyright Page

pp.：  5 – 8

Preface (1963 Edition)

pp.：  8 – 10

Preface (1985 Edition)

pp.：  10 – 12

Table of Contents

pp.：  12 – 14

Introduction

pp.：  14 – 18

Preliminary Definitions And Theorems

pp.：  18 – 32

Part I: Set Forms

pp.：  32 – 216

Part II: Class Forms

pp.：  216 – 278

List of the Set Forms

pp.：  278 – 302

List of the Class Forms

pp.：  302 – 310

List of Forms Related to the Axiom of Choice

pp.：  310 – 320

Bibliography

pp.：  320 – 336

Index of Authors

pp.：  336 – 342

Index of Symbols

pp.：  342 – 346

Index of Technical Terms

pp.：  346 – 355

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