Algebraic Topology

  • Edwin H. Spanier

Table of contents

  1. Front Matter
    Pages i-xv
  2. Edwin H. Spanier
    Pages 1-11
  3. Edwin H. Spanier
    Pages 12-59
  4. Edwin H. Spanier
    Pages 60-105
  5. Edwin H. Spanier
    Pages 106-153
  6. Edwin H. Spanier
    Pages 154-209
  7. Edwin H. Spanier
    Pages 210-283
  8. Edwin H. Spanier
    Pages 284-361
  9. Edwin H. Spanier
    Pages 362-421
  10. Edwin H. Spanier
    Pages 422-463
  11. Edwin H. Spanier
    Pages 464-520
  12. Back Matter
    Pages 521-528

About this book

Introduction

Intended for use both as a text and a reference, this book is an exposition of the fundamental ideas of algebraic topology. The first third of the book covers the fundamental group, its definition and its application in the study of covering spaces. The focus then turns to homology theory, including cohomology, cup products, cohomology operations, and topological manifolds. The remaining third of the book is devoted to Homotropy theory, covering basic facts about homotropy groups, applications to obstruction theory, and computations of homotropy groups of spheres. In the later parts, the main emphasis is on the application to geometry of the algebraic tools developed earlier.

Keywords

Algebraic topology Fundamental group cohomology homology topology

Authors and affiliations

  • Edwin H. Spanier
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4684-9322-1
  • Copyright Information Springer-Verlag New York 1966
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-94426-5
  • Online ISBN 978-1-4684-9322-1
  • About this book