Book contents
- Frontmatter
- Dedication
- Epigraph
- Contents
- Preface
- Introduction
- 1 Topological Rings and Modules and Their Completions
- 2 Inverse Limits
- 3 The Idea of Slenderness
- 4 Objects of Type Π / ⨿
- 5 Concrete Examples. Slender Rings
- 6 More Examples of Slender Objects
- Appendix Ordered Sets and Measurable Cardinals
- References
- Notation Index
- Name Index
- Subject Index
2 - Inverse Limits
Published online by Cambridge University Press: 30 November 2018
- Frontmatter
- Dedication
- Epigraph
- Contents
- Preface
- Introduction
- 1 Topological Rings and Modules and Their Completions
- 2 Inverse Limits
- 3 The Idea of Slenderness
- 4 Objects of Type Π / ⨿
- 5 Concrete Examples. Slender Rings
- 6 More Examples of Slender Objects
- Appendix Ordered Sets and Measurable Cardinals
- References
- Notation Index
- Name Index
- Subject Index
Summary
Properties of various inverse systems are investigated, as well as their inverse limits. The Mittag-Leffler Condition, surjectivity and flabby conditions are among the properties examined. Countability conditions, completions, and metrizability are intricately connected with slender objects.
- Type
- Chapter
- Information
- Slenderness , pp. 91 - 118Publisher: Cambridge University PressPrint publication year: 2018