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Two-Dimensional Homotopy and Combinatorial Group Theory

Two-Dimensional Homotopy and Combinatorial Group Theory

Part of London Mathematical Society Lecture Note Series

C. Hog-Angeloni, W. Metzler, A. J. Sieradski, M. P. Latiolais, M. Dyer, W. Bogley, S. J. pride, G. Huck, S. Rosebrock, M. Lustig, I. Hambleton, M. Kreck, S. Matveev, D. Rolfsen
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  • Date Published: January 1994
  • availability: Available
  • format: Paperback
  • isbn: 9780521447003


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About the Authors
  • The geometric and algebraic aspects of two-dimensional homotopy theory are both important areas of current research. Basic work on two-dimensional homotopy theory dates back to Reidemeister and Whitehead. The contributors to this book consider the current state of research beginning with introductory chapters on low-dimensional topology and covering crossmodules, Peiffer-Reid identities, and concretely discussing P2 theory. The chapters have been skillfully woven together to form a coherent picture, and the geometric nature of the subject is illustrated by over 100 diagrams. The final chapters round off neatly with a look at the present status of the conjectures of Zeeman, Whitehead and Andrews-Curtis.

    • Suitable for some graduate courses
    • Contributions have been woven together to form a lucid account of combinatorial theory
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    Product details

    • Date Published: January 1994
    • format: Paperback
    • isbn: 9780521447003
    • length: 428 pages
    • dimensions: 227 x 151 x 21 mm
    • weight: 0.592kg
    • contains: 115 b/w illus.
    • availability: Available
  • Table of Contents

    1. Geometric aspects of two-dimensional complexes C. Hog-Angeloni and W. Metzler
    2. Algebraic topology for two-dimensional complexes A. J. Sieradski
    3. Homotopy and homology classification of 2-complexes M. P. Latiolais
    4. Crossed modules and P2 homotopy modules M. Dyer
    5. Calculating generators of P2 W. Bogley and S. J. pride
    6. Applications of diagrams to decision processes G. Huck and S. Rosebrock
    7. Fox ideals, N-torsion and applications to groups and 3-manifolds M. Lustig
    8. (Singular) 3-manifolds C. Hog-Angeloni and A. Sieradski
    9. Cancellation results for 2-complexes and 4-manifolds and some applications I. Hambleton and M. Kreck
    10. J. H. C. Whitehead's asphericity question W. Bogley
    11. Zeeman's collapsing conjecture S. Matveev and D. Rolfsen
    12. The Andrews-Curtis conjecture and its generalizations C. Hog-Angeloni and W. Metzler.

  • Editors

    Cynthia Hog-Angeloni, Johann Wolfgang Goethe-Universität Frankfurt

    Wolfgang Metzler, Johann Wolfgang Goethe-Universität Frankfurt

    Allan J. Sieradski, University of Oregon


    C. Hog-Angeloni, W. Metzler, A. J. Sieradski, M. P. Latiolais, M. Dyer, W. Bogley, S. J. pride, G. Huck, S. Rosebrock, M. Lustig, I. Hambleton, M. Kreck, S. Matveev, D. Rolfsen

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