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Introduction to Topology

  • Tej Bahadur Singh
Textbook

Table of contents

  1. Front Matter
    Pages i-xix
  2. Tej Bahadur Singh
    Pages 1-28
  3. Tej Bahadur Singh
    Pages 29-50
  4. Tej Bahadur Singh
    Pages 51-75
  5. Tej Bahadur Singh
    Pages 77-93
  6. Tej Bahadur Singh
    Pages 95-124
  7. Tej Bahadur Singh
    Pages 125-168
  8. Tej Bahadur Singh
    Pages 169-180
  9. Tej Bahadur Singh
    Pages 181-204
  10. Tej Bahadur Singh
    Pages 205-218
  11. Tej Bahadur Singh
    Pages 219-233
  12. Tej Bahadur Singh
    Pages 235-266
  13. Tej Bahadur Singh
    Pages 267-296
  14. Tej Bahadur Singh
    Pages 297-314
  15. Tej Bahadur Singh
    Pages 315-371
  16. Tej Bahadur Singh
    Pages 373-409
  17. Back Matter
    Pages 411-452

About this book

Introduction

Topology is a large subject with several branches, broadly categorized as algebraic topology, point-set topology, and geometric topology. Point-set topology is the main language for a broad range of mathematical disciplines, while algebraic topology offers as a powerful tool for studying problems in geometry and numerous other areas of mathematics. This book presents the basic concepts of topology, including virtually all of the traditional topics in point-set topology, as well as elementary topics in algebraic topology such as fundamental groups and covering spaces. It also discusses topological groups and transformation groups. When combined with a working knowledge of analysis and algebra, this book offers a valuable resource for advanced undergraduate and beginning graduate students of mathematics specializing in algebraic topology and harmonic analysis.

Keywords

Fundamental Groups Free Groups Covering Spaces Compact-open Topology Transformation Groups k-spaces Stone-Cech compactification Adjunction Spaces

Authors and affiliations

  • Tej Bahadur Singh
    • 1
  1. 1.Department of MathematicsUniversity of DelhiDelhiIndia

Bibliographic information