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Algebraic Topology

  • Textbook
  • © 1966

Overview

Authors:
  1. Edwin H. Spanier

    1. Department of Mathematics, University of California, Berkeley, USA

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xv
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  2. Introduction

    • Edwin H. Spanier
    Pages 1-11

  3. Homotopy and the Fundamental Group

    • Edwin H. Spanier
    Pages 12-59

  4. Covering Spaces and Fibrations

    • Edwin H. Spanier
    Pages 60-105

  5. Polyhedra

    • Edwin H. Spanier
    Pages 106-153

  6. Homology

    • Edwin H. Spanier
    Pages 154-209

  7. Products

    • Edwin H. Spanier
    Pages 210-283

  8. General Cohomology Theory and Duality

    • Edwin H. Spanier
    Pages 284-361

  9. Homotopy Theory

    • Edwin H. Spanier
    Pages 362-421

  10. Obstruction Theory

    • Edwin H. Spanier
    Pages 422-463

  11. Spectral Sequences and Homotopy Groups of Spheres

    • Edwin H. Spanier
    Pages 464-520

  12. Back Matter

    Pages 521-528
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Keywords

About this book

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.

Authors and Affiliations

  • Department of Mathematics, University of California, Berkeley, USA

    Edwin H. Spanier

Bibliographic Information

  • Book Title: Algebraic Topology

  • Authors: Edwin H. Spanier

  • DOI: https://doi.org/10.1007/978-1-4684-9322-1

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1966

  • Softcover ISBN: 978-0-387-94426-5Published: 06 December 1994

  • eBook ISBN: 978-1-4684-9322-1Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XIV, 548

  • Additional Information: Originally published by McGraw-Hill, 1966

  • Topics: Algebraic Topology

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