Skip to content
Register Sign in Wishlist
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
View all contributors
  • Date Published: December 1993
  • availability: Available
  • format: Paperback
  • isbn: 9780521447003

£ 54.99

Add to cart Add to wishlist

Other available formats:

Looking for an inspection copy?

This title is not currently available on inspection

Product filter button
About the Authors
  • Basic work on two-dimensional homotopy theory dates back to K. Reidemeister and J. H. C. Whitehead. Much work in this area has been done since then, and this book considers the current state of knowledge in all the aspects of the subject. The editors start with introductory chapters on low-dimensional topology, covering both the geometric and algebraic sides of the subject, the latter including crossed modules, Reidemeister-Peiffer identities, and a concrete and modern discussion of Whitehead's algebraic classification of 2-dimensional homotopy types. Further chapters have been skilfully selected and woven together to form a coherent picture. The latest algebraic results and their applications to 3- and 4-dimensional manifolds are dealt with. The geometric nature of the subject is illustrated to the full by over 100 diagrams. Final chapters summarize and contribute to the present status of the conjectures of Zeeman, Whitehead, and Andrews-Curtis. No other book covers all these topics. Some of the material here has been used in courses, making this book valuable for anyone with an interest in two-dimensional homotopy theory, from graduate students to research workers.

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

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity


    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?


    Product details

    • Date Published: December 1993
    • 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

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner Please see the permission section of the catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.


Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

Please fill in the required fields in your feedback submission.