Introduction to Uniform Spaces.pdf

Introduction to Uniform Spaces

I. M. James

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.

We can not generalize this notion to arbitrary topological space because completness is defined only for class of uniform spaces. In this paper we introduce notion ... E. Hewitt introduced the class of R-compact (Tychonoff) spaces [19]. That class was independently defined by L. Nachbin [24] in terms of uniformities.

8.65 MB DATEIGRÖSSE
9781107108233 ISBN
Englisch SPRACHE
Introduction to Uniform Spaces.pdf

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Noel Schulze

Abstract. Two characterizations of -uniformly extremely convex spaces are given in this paper.As special cases for , two necessary and sufficient conditions of uniform extreme convexity are presented and a characteristic inequality of uniformly extremely convex spaces is given.. 1. Introduction. In the geometric theory of Banach spaces, the concept of uniform convexity plays …

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Jason Lehmann

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.

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Jessica Kohmann

Introduction to Uniform Spaces (London … Introduction to Uniform Spaces (London Mathematical Society Lecture Note Series Book 144) - Kindle edition by I. M. James. Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Introduction to Uniform Spaces (London Mathematical Society Lecture Note Series Book 144).