Book contents
- Frontmatter
- Preface
- Contents
- 1 Preliminaries
- 2 Basic Concepts in Metric Spaces
- 3 Sequences in Metric Spaces
- 4 Limits and Continuity
- 5 Completeness
- 6 Compactness
- 7 Connectedness
- 8 Approximations
- 9 Fixed Point Theorems and Their Applications
- 10 A Construction of Real Number System
- Appendix A Definition of Sets as Cumulative Type Structures
- Appendix B Bibliography
- Index
5 - Completeness
Published online by Cambridge University Press: 05 April 2012
- Frontmatter
- Preface
- Contents
- 1 Preliminaries
- 2 Basic Concepts in Metric Spaces
- 3 Sequences in Metric Spaces
- 4 Limits and Continuity
- 5 Completeness
- 6 Compactness
- 7 Connectedness
- 8 Approximations
- 9 Fixed Point Theorems and Their Applications
- 10 A Construction of Real Number System
- Appendix A Definition of Sets as Cumulative Type Structures
- Appendix B Bibliography
- Index
Summary
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- Type
- Chapter
- Information
- First Course in Metric Spaces , pp. 208 - 245Publisher: Foundation BooksPrint publication year: 2010