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(Ebook) Higher Operads Higher Categories 1st Edition by Tom Leinster ISBN 0521532159 9780521532150

  • SKU: EBN-11299972
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Instant download (eBook) Higher Operads, Higher Categories (London Mathematical Society Lecture Note Series) after payment.
Authors:Tom Leinster
Pages:448 pages.
Year:2004
Editon:1
Publisher:Cambridge University Press
Language:english
File Size:2.31 MB
Format:pdf
ISBNS:9780521532150, 0521532159
Categories: Ebooks

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(Ebook) Higher Operads Higher Categories 1st Edition by Tom Leinster ISBN 0521532159 9780521532150

(Ebook) Higher Operads Higher Categories 1st Edition by Tom Leinster - Ebook PDF Instant Download/Delivery: 0521532159, 9780521532150
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ISBN 10: 0521532159 
ISBN 13: 9780521532150
Author: Tom Leinster

Higher-dimensional category theory draws its inspiration from areas as diverse as topology, quantum algebra, mathematical physics, logic, and theoretical computer science. This is the first book on the subject and lays its foundations, appealing to graduate students and researchers who wish to become acquainted with this modern branch of mathematics., 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., 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.

(Ebook) Higher Operads Higher Categories 1st Table of contents:

  1. Classical Categorical Structures

  2. Classical Operads and Multicategories

  3. Notions of Monoidal Category

  4. Generalized Operads and Multicategories: Basics

  5. Example: fc-Multicategories

  6. Generalized Operads and Multicategories: Further Theory

  7. Opetopes

  8. Globular Operads

  9. A Definition of Weak n-Category

  10. Other Definitions of Weak n-Category

  11. Symmetric Structures

  12. Coherence for Monoidal Categories

  13. Special Cartesian Monads

  14. Free Multicategories

  15. Definitions of Trees

  16. Free Strict n-Categories

  17. Initial Operad-with-Contraction

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Tags: Tom Leinster, Operads, Categories

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