Homotopy type and homology

Bibliographic Information

Homotopy type and homology

Hans-Joachim Baues

(Oxford mathematical monographs)

Clarendon Press , Oxford University Press, 1996

Available at  / 43 libraries

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Note

Includes bibliographical references (p. [479]-483) and index

Description and Table of Contents

Description

Research mathematicians in algebraic topology will be interested in this new attempt to classify homotopy types of simply connected CW-complexes. This book provides a modern treatment of a long established set of questions in algebraic topology. The author is a leading figure in this important research area.

Table of Contents

  • Introduction
  • 1. Linear extension and Moore spaces
  • 2. Invariants of homotopy types
  • 3. On the classification of homotopy types
  • 4. The CW-tower of categories
  • 5. Spaniert-Whitehead duality and the stable CW-tower
  • 6. Eilenberg-Mac Lane functors
  • 7. Moore functors
  • 8. The homotopy category of (n -1)-connected (n+1)-types
  • 8. On the homotopy classification of (n-1)-connected (n+3)-dimensional polyhedra, n>4
  • 9. On the homotopy classification of 2-connected 6-dimensional polyhedra
  • 10. Decomposition of homotopy types
  • 11. Homotopy groups in dimension 4
  • 12. On the homotopy classification of simply connected 5-dimensional polyhedra
  • 13. Primary homotopy operations and homotopy groups of mapping cones
  • Bibliography
  • Index

by "Nielsen BookData"

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Details

  • NCID
    BA27832052
  • ISBN
    • 9780198514824
  • LCCN
    96001777
  • Country Code
    uk
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Oxford [England],New York
  • Pages/Volumes
    xii, 489 p.
  • Size
    24 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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