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Equivariant Surgery Theories and Their Periodicity Properties

  • Book
  • © 1990

Overview

Authors:
  1. Karl Heinz Dovermann
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  2. Reinhard Schultz
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1443)

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Table of contents (6 chapters)

  1. Front Matter

    Pages I-VI
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  2. Summary: Background material and basic results

    • Karl Heinz Dovermann, Reinhard Schultz
    Pages 1-8

  3. Introduction to equivariant surgery

    • Karl Heinz Dovermann, Reinhard Schultz
    Pages 9-36

  4. Relations between equivariant surgery theories

    • Karl Heinz Dovermann, Reinhard Schultz
    Pages 37-79

  5. Periodicity theorems in equivariant surgery

    • Karl Heinz Dovermann, Reinhard Schultz
    Pages 80-114

  6. Twisted product formulas for surgery with coefficients

    • Karl Heinz Dovermann, Reinhard Schultz
    Pages 115-140

  7. Products and periodicity for surgery up to pseudoequivalence

    • Karl Heinz Dovermann, Reinhard Schultz
    Pages 141-191

  8. Back Matter

    Pages 192-227
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Keywords

About this book

The theory of surgery on manifolds has been generalized to categories of manifolds with group actions in several different ways. This book discusses some basic properties that such theories have in common. Special emphasis is placed on analogs of the fourfold periodicity theorems in ordinary surgery and the roles of standard general position hypotheses on the strata of manifolds with group actions. The contents of the book presuppose some familiarity with the basic ideas of surgery theory and transformation groups, but no previous knowledge of equivariant surgery is assumed. The book is designed to serve either as an introduction to equivariant surgery theory for advanced graduate students and researchers in related areas, or as an account of the authors' previously unpublished work on periodicity for specialists in surgery theory or transformation groups.

Bibliographic Information

  • Book Title: Equivariant Surgery Theories and Their Periodicity Properties

  • Authors: Karl Heinz Dovermann, Reinhard Schultz

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0092354

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1990

  • Softcover ISBN: 978-3-540-53042-8Published: 05 October 1990

  • eBook ISBN: 978-3-540-46394-8Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 228

  • Topics: Algebraic Topology

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