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The Homotopy Category of Simply Connected 4-Manifolds

The Homotopy Category of Simply Connected 4-Manifolds

$60.99 (C)

Part of London Mathematical Society Lecture Note Series

  • Author: Hans-Joachim Baues, Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig
  • Date Published: June 2003
  • availability: Available
  • format: Paperback
  • isbn: 9780521531030

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About the Authors
  • This study is concerned with computing the homotopy classes of maps algebraically and determining the law of composition for such maps. The problem is solved by introducing new algebraic models of a 4-manifold. Including a complete list of references for the text, the book appeals to researchers and graduate students in topology and algebra.

    • Methods used include new models of 4-manifolds
    • Appeal to both researchers and graduate students in the field
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    Reviews & endorsements

    "This book is clearly the last word on the homotopy category of simply-connected 4-mannifolds and related spaces. It should prove indispensable to workers in the area." AMS Mathematical Reviews, Laurence R. Taylor

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    Product details

    • Date Published: June 2003
    • format: Paperback
    • isbn: 9780521531030
    • length: 196 pages
    • dimensions: 229 x 153 x 13 mm
    • weight: 0.282kg
    • contains: 150 b/w illus.
    • availability: Available
  • Table of Contents

    Introduction
    1. The homotopy category of (2,4)-complexes
    2. The homotopy category of simply connected 4-manifolds
    3. Track categories
    4. The splitting of the linear extension TL
    5. The category T Gamma and an algebraic model of CW(2,4)
    6. Crossed chain complexes and algebraic models of tracks
    7. Quadratic chain complexes and algebraic models of tracks
    8. On the cohomology of the category nil.

  • Author

    Hans-Joachim Baues, Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig

    Appendix by

    Teimuraz Pirashvili

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