Introduction to Uniform Spaces
Seiten
1990
Cambridge University Press (Verlag)
978-0-521-38620-3 (ISBN)
Cambridge University Press (Verlag)
978-0-521-38620-3 (ISBN)
Based on a course taught to an audience of undergraduate and graduate students at Oxford, this book can be viewed as a bridge between the study of metric spaces and general topological spaces.
This book is based on a course taught to an audience of undergraduate and graduate students at Oxford, and can be viewed as a bridge between the study of metric spaces and general topological spaces. About half the book is devoted to relatively little-known results, much of which is published here for the first time. The author sketches a theory of uniform transformation groups, leading to the theory of uniform spaces over a base and hence to the theory of uniform covering spaces. Readers interested in general topology will find much to interest them here.
This book is based on a course taught to an audience of undergraduate and graduate students at Oxford, and can be viewed as a bridge between the study of metric spaces and general topological spaces. About half the book is devoted to relatively little-known results, much of which is published here for the first time. The author sketches a theory of uniform transformation groups, leading to the theory of uniform spaces over a base and hence to the theory of uniform covering spaces. Readers interested in general topology will find much to interest them here.
Introduction; 1. Uniform structures; 2. Induced and coinduced uniform structures; 3. The uniform topology; 4. Completeness and completion; 5. Topological groups; 6. Uniform transformation groups; 7. Uniform spaces over a base; 8. Uniform covering spaces; Exercises; Bibliography.
| Erscheint lt. Verlag | 3.5.1990 |
|---|---|
| Reihe/Serie | London Mathematical Society Lecture Note Series |
| Zusatzinfo | Worked examples or Exercises |
| Verlagsort | Cambridge |
| Sprache | englisch |
| Maße | 152 x 229 mm |
| Gewicht | 240 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| ISBN-10 | 0-521-38620-9 / 0521386209 |
| ISBN-13 | 978-0-521-38620-3 / 9780521386203 |
| Zustand | Neuware |
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