Skip to content
Register Sign in Wishlist

Commutator Calculus and Groups of Homotopy Classes


Part of London Mathematical Society Lecture Note Series

  • Date Published: November 1981
  • availability: Available
  • format: Paperback
  • isbn: 9780521284240

£ 39.99

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
  • A fundamental problem of algebraic topology is the classification of homotopy types and homotopy classes of maps. In this work the author extends results of rational homotopy theory to a subring of the rationale. The methods of proof employ classical commutator calculus of nilpotent group and Lie algebra theory and rely on an extensive and systematic study of the algebraic properties of the classical homotopy operations (composition and addition of maps, smash products, Whitehead products and higher order James-Hopi invariants). The account is essentially self-contained and should be accessible to non-specialists and graduate students with some background in algebraic topology and homotopy theory.

    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: November 1981
    • format: Paperback
    • isbn: 9780521284240
    • length: 168 pages
    • dimensions: 228 x 152 x 10 mm
    • weight: 0.25kg
    • availability: Available
  • Table of Contents

    1. Commuter calculus
    2. Distributivity laws in homotopy theory
    3. Homotopy operations on spheres
    4. Higher order Hopf invariants on spheres
    5. The homotopy Lie algebra and the spherical cohomotopy algebra
    6. Groups of homotopy classes
    7. The Hilton-Milnor theorum and its dual.

  • Author

    Hans Joachim Baues

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.