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Controlled Simple Homotopy Theory and Applications

  • Book
  • © 1983

Overview

Authors:
  1. T. A. Chapman
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1009)

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Table of contents (15 chapters)

  1. Front Matter

    Pages I-III
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  2. Introduction

    • T. A. Chapman
    Pages 1-5

  3. Applications

    • T. A. Chapman
    Pages 5-11

  4. Definitions and notation

    • T. A. Chapman
    Pages 11-13

  5. Construction of Wh(y)ε

    • T. A. Chapman
    Pages 13-17

  6. Functorial properties

    • T. A. Chapman
    Pages 17-19

  7. Controlled whitehead torsion

    • T. A. Chapman
    Pages 19-26

  8. Construction of K0(Y)ε

    • T. A. Chapman
    Pages 26-28

  9. Controlled finiteness obstruction

    • T. A. Chapman
    Pages 28-33

  10. Further properties of the controlled finiteness obstruction

    • T. A. Chapman
    Pages 33-41

  11. The splitting homomorphism

    • T. A. Chapman
    Pages 41-50

  12. The splitting sequence

    • T. A. Chapman
    Pages 50-59

  13. The realization theorem

    • T. A. Chapman
    Pages 60-70

  14. Calculations

    • T. A. Chapman
    Pages 70-79

  15. The Controlled Boundary Theorem

    • T. A. Chapman
    Pages 79-84

  16. The Controlled s-Cobordism Theorem

    • T. A. Chapman
    Pages 84-89

  17. Back Matter

    Pages 91-94
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Keywords

Bibliographic Information

  • Book Title: Controlled Simple Homotopy Theory and Applications

  • Authors: T. A. Chapman

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0066066

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1983

  • Softcover ISBN: 978-3-540-12338-5Published: 01 July 1983

  • eBook ISBN: 978-3-540-40973-1Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: III, 94

  • Topics: Algebraic Topology

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