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Author Gordon, Robert, 1935-

Title Coherence for tricategories / R. Gordon, A.J. Power, Ross Street
Published Providence, RI : American Mathematical Society, ©1995

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Description 1 online resource (vi, 81 pages) : illustrations
Series Memoirs of the American Mathematical Society, 1947-6221 ; v. 558
Memoirs of the American Mathematical Society ; no. 558. 0065-9266
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
Summary Addresses the three-dimensional generalization of category, offering a full definition of tricategory; a proof of the coherence theorem for tricategories; and a modern source of material on Gray's tensor product of 2-categories. Of interest to research mathematicians; theoretical physicists, algebraic topologists; 3-D computer scientists; and theoretical computer scientists. Society members, $19.00. No index. Annotation c. by Book News, Inc., Portland, Or
Notes "September 1995, volume 117, number 558 (first of 5 numbers)."
Bibliography Includes bibliographical references (pages 79-81)
Notes Print version record
Subject Tricategories.
Homotopy theory.
MATHEMATICS -- Essays.
MATHEMATICS -- Pre-Calculus.
MATHEMATICS -- Reference.
Homotopy theory.
Tricategories.
Form Electronic book
Author Power, A. J. (Anthony John), 1959-
Street, Ross, 1945-
ISBN 9781470401375
1470401371