Set Theory and Metric Spaces (Ams Chelsea Publishing)

Kaplansky, Irving

American Mathematical Society（1972/12発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 140 p.
• 言語 ENG
• 商品コード 9781470463847

Full Description

This book is based on notes from a course on set theory and metric spaces taught by Edwin Spanier, and also incorporates with his permission numerous exercises from those notes. The volume includes an Appendix that helps bridge the gap between metric and topological spaces, a Selected Bibliography, and an Index.

Contents

Cover
Title Page
Copyright Page
Contents
Preface
1. Basic Set Theory
2. Cardinal Numbers
3. Well Ordering; The Axiom of Choice
4. Basic Properties of Metric Spaces
5. Completeness, Separability, and Compactness
6. Additional Topics
Appendixes
1. Examples of Metric Spaces
2. Set Theory and Algebra
3. The Transition to Topological Spaces
Selected Bibliography
Index
Back Cover