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  3. Introduction to Uniform Spaces
  • Cited by 28
Publisher:
Cambridge University Press
Online publication date:
April 2013
Print publication year:
1990
Online ISBN:
9780511721519
DOI:
https://doi.org/10.1017/CBO9780511721519
Subjects:
Mathematics (general), Mathematics, Geometry and Topology
Series:
London Mathematical Society Lecture Note Series (144)
Information

Book description

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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