Advertisement

Strong Shape and Homology

  • Sibe Mardešić

Part of the Springer Monographs in Mathematics book series (SMM)

Table of contents

  1. Front Matter
    Pages I-XII
  2. Introduction

    1. Sibe Mardešić
      Pages 1-5
  3. Coherent Homotopy

    1. Front Matter
      Pages 7-7
    2. Sibe Mardešić
      Pages 9-27
    3. Sibe Mardešić
      Pages 29-46
    4. Sibe Mardešić
      Pages 47-60
    5. Sibe Mardešić
      Pages 61-91
    6. Sibe Mardešić
      Pages 93-100
  4. Strong Shape

    1. Front Matter
      Pages 101-101
    2. Sibe Mardešić
      Pages 103-127
    3. Sibe Mardešić
      Pages 129-145
    4. Sibe Mardešić
      Pages 147-180
    5. Sibe Mardešić
      Pages 181-199
    6. Sibe Mardešić
      Pages 201-212
  5. Higher Derived Limits

    1. Front Matter
      Pages 213-213
    2. Sibe Mardešić
      Pages 215-252
    3. Sibe Mardešić
      Pages 253-268
    4. Sibe Mardešić
      Pages 269-283
    5. Sibe Mardešić
      Pages 285-300
    6. Sibe Mardešić
      Pages 301-316
  6. Homology Groups

    1. Front Matter
      Pages 317-317
    2. Sibe Mardešić
      Pages 319-326
    3. Sibe Mardešić
      Pages 327-351
    4. Sibe Mardešić
      Pages 353-378
    5. Sibe Mardešić
      Pages 379-404
    6. Sibe Mardešić
      Pages 405-438
    7. Sibe Mardešić
      Pages 439-457
    8. Sibe Mardešić
      Pages 459-464
  7. Back Matter
    Pages 465-489

About this book

Introduction

Shape theory is an extension of homotopy theory from the realm of CW-complexes to arbitrary spaces. Besides applications in topology, it has interesting applications in various other areas of mathematics, especially in dynamical systems and C*-algebras. Strong shape is a refinement of ordinary shape with distinct advantages over the latter. Strong homology generalizes Steenrod homology and is an invariant of strong shape. The book gives a detailed account based on approximation of spaces by polyhedra (ANRs) using the technique of inverse systems. It is intended for researchers and graduate students. Special care is devoted to motivation and bibliographic notes.

Keywords

Algebraic Topology Derived Limit Homotopy Inverse System Strong Homology Strong Shape algebra homology homotopy theory

Authors and affiliations

  • Sibe Mardešić
    • 1
  1. 1.Department of MathematicsUniversity of ZagrebZagrebCroatia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-13064-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 2000
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-08546-8
  • Online ISBN 978-3-662-13064-3
  • Series Print ISSN 1439-7382
  • Buy this book on publisher's site