Coherence for tricategories / R. Gordon, A.J. Power, Ross Street.

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, al...

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Bibliographic Details
Main Author: Gordon, Robert, 1935-
Other Authors: Power, A. J. (Anthony John), 1959-, Street, Ross, 1945-
Format: eBook
Language:English
Published: Providence, RI : American Mathematical Society, ©1995.
Series:Memoirs of the American Mathematical Society ; no. 558.
Subjects:
Online Access:Click for online access

MARC

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100 1 |a Gordon, Robert,  |d 1935-  |1 https://id.oclc.org/worldcat/entity/E39PCjDgtWMqv9JW4wqhM4mMrq 
245 1 0 |a Coherence for tricategories /  |c R. Gordon, A.J. Power, Ross Street. 
260 |a Providence, RI :  |b American Mathematical Society,  |c ©1995. 
300 |a 1 online resource (vi, 81 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
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490 1 |a Memoirs of the American Mathematical Society,  |x 1947-6221 ;  |v v. 558 
500 |a "September 1995, volume 117, number 558 (first of 5 numbers)." 
504 |a Includes bibliographical references (pages 79-81). 
588 0 |a Print version record. 
520 8 |a 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. 
505 0 0 |t 1. Introduction  |t 2. The definition of tricategory  |t 3. Trihomomorphisms, triequivalence, and $\mathbf {Tricat}(T, S)$  |t 4. Cubical functors and tricategories, and the monoidal category Gray  |t 5. Gray-categories, and Bicat as a tricategory  |t 6. The Gray-category $\mathbf {Prep}(T)$ of prerepresentations of $T$  |t 7. The "Yoneda embedding"  |t 8. The main theorem. 
650 0 |a Tricategories. 
650 0 |a Homotopy theory. 
650 7 |a MATHEMATICS  |x Essays.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Pre-Calculus.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Reference.  |2 bisacsh 
650 7 |a Homotopy theory  |2 fast 
650 7 |a Tricategories  |2 fast 
700 1 |a Power, A. J.  |q (Anthony John),  |d 1959-  |1 https://id.oclc.org/worldcat/entity/E39PCjKTmjVdbWtff4tJKJ37tq 
700 1 |a Street, Ross,  |d 1945-  |1 https://id.oclc.org/worldcat/entity/E39PBJmHP9djcpVPmRwBdPDjG3 
776 0 8 |i Print version:  |a Gordon, Robert, 1935-  |t Coherence for tricategories /  |x 0065-9266  |z 9780821803448 
830 0 |a Memoirs of the American Mathematical Society ;  |v no. 558.  |x 0065-9266 
856 4 0 |u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=3113970  |y Click for online access 
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