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General Topology and Homotopy Theory

  • I. M. James

Table of contents

  1. Front Matter
    Pages i-vii
  2. I. M. James
    Pages 1-2
  3. I. M. James
    Pages 3-30
  4. I. M. James
    Pages 31-66
  5. I. M. James
    Pages 67-107
  6. I. M. James
    Pages 108-136
  7. I. M. James
    Pages 137-166
  8. I. M. James
    Pages 167-197
  9. I. M. James
    Pages 198-223
  10. I. M. James
    Pages 224-243
  11. Back Matter
    Pages 245-248

About this book

Introduction

Students of topology rightly complain that much of the basic material in the subject cannot easily be found in the literature, at least not in a convenient form. In this book I have tried to take a fresh look at some of this basic material and to organize it in a coherent fashion. The text is as self-contained as I could reasonably make it and should be quite accessible to anyone who has an elementary knowledge of point-set topology and group theory. This book is based on a course of 16 graduate lectures given at Oxford and elsewhere from time to time. In a course of that length one cannot discuss too many topics without being unduly superficial. However, this was never intended as a treatise on the subject but rather as a short introductory course which will, I hope, prove useful to specialists and non-specialists alike. The introduction contains a description of the contents. No algebraic or differen­ tial topology is involved, although I have borne in mind the needs of students of those branches of the subject. Exercises for the reader are scattered throughout the text, while suggestions for further reading are contained in the lists of references at the end of each chapter. In most cases these lists include the main sources I have drawn on, but this is not the type of book where it is practicable to give a reference for everything.

Keywords

Homotopy cofibration fibrations group theory homotopy theory

Authors and affiliations

  • I. M. James
    • 1
  1. 1.Mathematical InstituteOxford UniversityOxfordEngland

Bibliographic information