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Introduction to Uniform Spaces

Autor I. M. James
en Limba Engleză Paperback – 19 ian 1990
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.
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Specificații

ISBN-13: 9780521386203
ISBN-10: 0521386209
Pagini: 160
Ilustrații: 1
Dimensiuni: 152 x 229 x 9 mm
Greutate: 0.24 kg
Editura: Cambridge University Press
Locul publicării:Cambridge, United Kingdom

Cuprins

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.