Introduction to uniform spaces / I.M. James.

Format:

Book

Author/Creator:

James, I. M. (Ioan Mackenzie), 1928- author.

Series:

London Mathematical Society lecture note series ; 144.

London Mathematical Society lecture note series ; 144

Language:

English

Subjects (All):

Uniform spaces.

Physical Description:

1 online resource (148 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 1990.

Language Note:

English

Summary:

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.

Contents:

Uniform structures

Induced and coinduced uniform structures

The uniform topology

Completeness and completion

Topological groups

Uniform transformation groups

Uniform spaces over a base

Uniform covering spaces

Filters.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references (p. [137]-138) and index.

ISBN:

1-139-88455-7

1-107-10018-6

1-107-08814-3

1-107-09118-7

1-107-09430-5

1-107-10277-4

0-511-72151-X