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Higher Operads, Higher Categories

Higher Operads, Higher Categories

$129.99 (C)

Part of London Mathematical Society Lecture Note Series

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

$ 129.99 (C)
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About the Authors
  • Category theory has experienced a resurgence in popularity recently because of new links with topology and mathematical physics. This book provides a clearly written account of higher order category theory and presents operads and multicategories as a natural language for its study. Tom Leinster has included necessary background material and applications as well as appendices containing some of the more technical proofs that might have disrupted the flow of the text.

    • 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
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    Product details

    • Date Published: August 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

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