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Coherence for tricategories
About this Title
R. Gordon, A. J. Power and Ross Street
Publication: Memoirs of the American Mathematical Society
Publication Year:
1995; Volume 117, Number 558
ISBNs: 978-0-8218-0344-8 (print); 978-1-4704-0137-5 (online)
DOI: https://doi.org/10.1090/memo/0558
MathSciNet review: 1261589
MSC: Primary 18D05
Table of Contents
Chapters
- 1. Introduction
- 2. The definition of tricategory
- 3. Trihomomorphisms, triequivalence, and $\mathbf {Tricat}(T, S)$
- 4. Cubical functors and tricategories, and the monoidal category Gray
- 5. Gray-categories, and Bicat as a tricategory
- 6. The Gray-category $\mathbf {Prep}(T)$ of prerepresentations of $T$
- 7. The “Yoneda embedding”
- 8. The main theorem