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### Table of Contents

and#160; Chapter I. The Basic Notions

and#160;and#160;and#160; 1. The Basic Language of Set Theory

and#160;and#160;and#160; 2. The Axioms of Extensionality and Comprehension

and#160;and#160;and#160; 3. Classes, Why and How

and#160;and#160;and#160; 4. Classes, the formal Introduction

and#160;and#160;and#160; 5. The Axioms of Set Theory

and#160;and#160;and#160; 6. Relations and functions

and#160; Chapter II. Order and Well-Foundedness

and#160;and#160;and#160; 1. Order

and#160;and#160;and#160; 2. Well-Order

and#160;and#160;and#160; 3. Ordinals

and#160;and#160;and#160; 4. Natural Numbers and finite Sequences

and#160;and#160;and#160; 5. Well-Founded Relations

and#160;and#160;and#160; 6. Well-Founded Sets

and#160;and#160;and#160; 7. The Axiom of Foundation

and#160; Chapter III. Cardinal Numbers

and#160;and#160;and#160; 1. Finite Sets

and#160;and#160;and#160; 2. The Partial Order of the Cardinals

and#160;and#160;and#160; 3. The Finite Arithmetic of the Cardinals

and#160;and#160;and#160; 4. The Infinite Arithmetic of the Well Orderd Cardinals

and#160; Chapter IV. The Ordinals

and#160;and#160;and#160; 1. Ordinal Addition and Multiplication

and#160;and#160;and#160; 2. Ordinal Exponentiation

and#160;and#160;and#160; 3. Cofinality and Regular Ordinals

and#160;and#160;and#160; 4. Closed Unbounded Classes and Stationery Classes

and#160; Chapter V. The Axiom of Choice and Some of Its Consequences

and#160;and#160;and#160; 1. The Axiom of Choice and Equivalent Statements

and#160;and#160;and#160; 2. Some Weaker Versions of the Axiom of Choice

and#160;and#160;and#160; 3. Definable Sets

and#160;and#160;and#160; 4. Set Theory with Global Choice

and#160;and#160;and#160; 5. Cardinal Exponentiation

Part B. Applications and Advanced Topics

and#160; Chapter VI. A Review of Point Set Topology

and#160;and#160;and#160; 1. Basic concepts

and#160;and#160;and#160; 2. Useful Properties and Operations

and#160;and#160;and#160; 3. Category, Baire and Borel Sets

and#160; Chapter VII. The Real Spaces

and#160;and#160;and#160; 1. The Real Numbers

and#160;and#160;and#160; 2. The Separable Complete Metric Spaces

and#160;and#160;and#160; 3. The Close Relationship Between the Real Numbers, the Cantor Space and the Baire Space

and#160; Chapter VIII. Boolean Algebras

and#160;and#160;and#160; 1. The Basic Theory

and#160;and#160;and#160; 2. Prime Ideals and Representation

and#160;and#160;and#160; 3. Complete Boolean Algebras

and#160;and#160;and#160; 4. Martin's Axiom

and#160; Chapter IX. Infinite Combinatorics and Large Cardinals

and#160;and#160;and#160; 1. The Axiom of Constructibility

and#160;and#160;and#160; 2. Trees

and#160;and#160;and#160; 3. Partition Properties

and#160;and#160;and#160; 4. Measurable Cardinals

Appendix X. The Eliminability and Conservation Theorems

and#160; Bibliography; Additional Bibliography; Index of Notation; Index

Appendix Corrections and Additions

### Product Details

- ISBN:
- 9780486420790
- Binding:
- Trade Paperback
- Publication date:
- 08/13/2002
- Publisher:
- Dover Publications
- Language:
- English
- Pages:
- 416
- Height:
- .79IN
- Width:
- 6.40IN
- Thickness:
- .75
- LCCN:
- 2002022292
- Number of Units:
- 1
- Illustration:
- Yes
- Copyright Year:
- 1979
- Series Volume:
- 1083
- UPC Code:
- 2800486420792
- Author:
- Author:
- Media Run Time:
- B