Advertisement

Topological and Uniform Spaces

  • I. M. James

Part of the Undergraduate Texts in Mathematics book series (UTM)

Table of contents

  1. Front Matter
    Pages i-ix
  2. I. M. James
    Pages 1-8
  3. I. M. James
    Pages 9-24
  4. I. M. James
    Pages 25-40
  5. I. M. James
    Pages 41-52
  6. I. M. James
    Pages 53-61
  7. I. M. James
    Pages 62-70
  8. I. M. James
    Pages 71-84
  9. I. M. James
    Pages 85-100
  10. I. M. James
    Pages 101-113
  11. I. M. James
    Pages 114-129
  12. I. M. James
    Pages 130-139
  13. I. M. James
    Pages 140-147
  14. I. M. James
    Pages 148-157
  15. Back Matter
    Pages 158-163

About this book

Introduction

This book is based on lectures I have given to undergraduate and graduate audiences at Oxford and elsewhere over the years. My aim has been to provide an outline of both the topological theory and the uniform theory, with an emphasis on the relation between the two. Although I hope that the prospec­ tive specialist may find it useful as an introduction it is the non-specialist I have had more in mind in selecting the contents. Thus I have tended to avoid the ingenious examples and counterexamples which often occupy much ofthe space in books on general topology, and I have tried to keep the number of definitions down to the essential minimum. There are no particular pre­ requisites but I have worked on the assumption that a potential reader will already have had some experience of working with sets and functions and will also be familiar with the basic concepts of algebra and analysis. There are a number of fine books on general topology, some of which I have listed in the Select Bibliography at the end of this volume. Of course I have benefited greatly from this previous work in writing my own account. Undoubtedly the strongest influence is that of Bourbaki's Topologie Generale [2], the definitive treatment of the subject which first appeared over a genera­ tion ago.

Keywords

Compact space Volume algebra form function functional functions minimum sets topology

Authors and affiliations

  • I. M. James
    • 1
  1. 1.Mathematical InstituteUniversity of OxfordOxfordEngland

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-4716-6
  • Copyright Information Springer-Verlag New York 1987
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-9128-2
  • Online ISBN 978-1-4612-4716-6
  • Series Print ISSN 0172-6056
  • Buy this book on publisher's site