Introduction to Uniform Spaces

Erscheinungsjahr 1990
ISBN: 978-0-521-38620-3
Verlag: Cambridge University Press

Buch, Englisch, Band 144, 156 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 242 g

Reihe: London Mathematical Society Lecture Note Series

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.

Autoren/Hrsg.

James, I. M.

Fachgebiete

• Mathematik | Informatik Mathematik Topologie Algebraische Topologie

Inhaltsverzeichnis

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.