Higher Operads, Higher Categories
$92.00 ( ) USD
- Author: Tom Leinster, Institut des Hautes Études Scientifiques, France
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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.Read more
- 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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- Date Published: February 2011
- format: Adobe eBook Reader
- isbn: 9780511893780
- contains: 150 b/w illus.
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
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
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.
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