Bicat is not triequivalent to Gray

Stephen Lack

Bicat is not triequivalent to Gray

Stephen Lack^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

Bicat is the tricategory of bicategories, homomorphisms, pseudonatural transformations, and modifications. Gray is the subtricategory of 2-categories, 2-functors, pseudonatural transformations, and modifications. We show that these two tricategories are not triequivalent.

Original language	English
Pages (from-to)	1-3
Number of pages	3
Journal	Theory and Applications of Categories
Volume	18
Publication status	Published - 8 Jan 2007
Externally published	Yes

Keywords

Bicategory
Coherence
Gray-category
Tricategory

Cite this

@article{79b1d241023343778d9a681bad04083f,

title = "Bicat is not triequivalent to Gray",

abstract = "Bicat is the tricategory of bicategories, homomorphisms, pseudonatural transformations, and modifications. Gray is the subtricategory of 2-categories, 2-functors, pseudonatural transformations, and modifications. We show that these two tricategories are not triequivalent.",

keywords = "Bicategory, Coherence, Gray-category, Tricategory",

author = "Stephen Lack",

year = "2007",

month = jan,

day = "8",

language = "English",

volume = "18",

pages = "1--3",

journal = "Theory and Applications of Categories",

issn = "1201-561X",

publisher = "Mount Allison University",

}

TY - JOUR

T1 - Bicat is not triequivalent to Gray

AU - Lack, Stephen

PY - 2007/1/8

Y1 - 2007/1/8

N2 - Bicat is the tricategory of bicategories, homomorphisms, pseudonatural transformations, and modifications. Gray is the subtricategory of 2-categories, 2-functors, pseudonatural transformations, and modifications. We show that these two tricategories are not triequivalent.

AB - Bicat is the tricategory of bicategories, homomorphisms, pseudonatural transformations, and modifications. Gray is the subtricategory of 2-categories, 2-functors, pseudonatural transformations, and modifications. We show that these two tricategories are not triequivalent.

KW - Bicategory

KW - Coherence

KW - Gray-category

KW - Tricategory

UR - https://www.scopus.com/pages/publications/33846307043

M3 - Article

AN - SCOPUS:33846307043

SN - 1201-561X

VL - 18

SP - 1

EP - 3

JO - Theory and Applications of Categories

JF - Theory and Applications of Categories

ER -

Bicat is not triequivalent to Gray

Abstract

Keywords

Other files and links

Fingerprint

Cite this