Skip to content
Register Sign in Wishlist
Higher Operads, Higher Categories

Higher Operads, Higher Categories

£73.99

Part of London Mathematical Society Lecture Note Series

  • Author: Tom Leinster, Institut des Hautes Études Scientifiques, France
  • Date Published: July 2004
  • availability: Available
  • format: Paperback
  • isbn: 9780521532150

£ 73.99
Paperback

Add to cart Add to wishlist

Other available formats:
eBook


Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • Higher-dimensional category theory is the study of n-categories, operads, braided monoidal categories, and other such exotic structures. It draws its inspiration from areas as diverse as topology, quantum algebra, mathematical physics, logic, and theoretical computer science. The heart of this book is the language of generalized operads. This is as natural and transparent a language for higher category theory as the language of sheaves is for algebraic geometry, or vector spaces for linear algebra. It is introduced carefully, then used to give simple descriptions of a variety of higher categorical structures. In particular, one possible definition of n-category is discussed in detail, and some common aspects of other possible definitions are established. This is the first book on the subject and lays its foundations. It will appeal to both graduate students and established researchers who wish to become acquainted with this modern branch of mathematics.

    • Subject that is growing in importance due to exciting applications in mathematical physics
    • Author has written user-friendly treatment of subject including background and applications
    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: July 2004
    • format: Paperback
    • isbn: 9780521532150
    • length: 448 pages
    • dimensions: 229 x 152 x 25 mm
    • weight: 0.65kg
    • contains: 150 b/w illus.
    • availability: Available
  • Table of Contents

    Part I. Background:
    1. Classical categorical structures
    2. Classical operads and multicategories
    3. Notions of monoidal category
    Part II. Operads. 4. Generalized operads and multicategories: basics
    5. Example: fc-multicategories
    6. Generalized operads and multicategories: further theory
    7. Opetopes
    Part III. n-categories:
    8. Globular operads
    9. A definition of weak n-category
    10. Other definitions of weak n-category
    Appendices: A. Symmetric structures
    B. Coherence for monoidal categories
    C. Special Cartesian monads
    D. Free multicategories
    E. Definitions of trees
    F. Free strict n-categories
    G. Initial operad-with-contraction.

  • Author

    Tom Leinster, Institut des Hautes Études Scientifiques, France

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

Sorry, this resource is locked

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

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 www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

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.

Cancel

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.
×