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Coherence in Three-Dimensional Category Theory

Publisher: 
Cambridge University Press
Number of Pages: 
278
Price: 
70.00
ISBN: 
9781107034891
Date Received: 
Monday, June 17, 2013
Reviewable: 
No
Include In BLL Rating: 
No
Nick Gurski
Series: 
Cambridge Tracts in Mathematics 201
Publication Date: 
2013
Format: 
Hardcover
Category: 
Monograph

Introduction
Part I. Background:
1. Bicategorical background
2. Coherence for bicategories
3. Gray-categories
Part II. Tricategories:
4. The algebraic definition of tricategory
5. Examples
6. Free constructions
7. Basic structure
8. Gray-categories and tricategories
9. Coherence via Yoneda
10. Coherence via free constructions
Part III. Gray monads:
11. Codescent in Gray-categories
12. Codescent as a weighted colimit
13. Gray-monads and their algebras
14. The reflection of lax algebras into strict algebras
15. A general coherence result
Bibliography
Index.

Publish Book: 
Modify Date: 
Monday, June 17, 2013

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