Coherence in Three-Dimensional Category Theory

Nick Gurski

Publisher:

Cambridge University Press

Publication Date:

2013

Number of Pages:

278

Format:

Hardcover

Series:

Cambridge Tracts in Mathematics 201

Price:

70.00

ISBN:

9781107034891

Category:

Monograph

MAA Review
Table of Contents

We do not plan to review this book.

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.