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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)
MathSciNet review: 1261589
MSC: Primary 18D05

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Table of Contents


  • 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