A Quillen model structure for bicategories

Stephen Lack

A Quillen model structure for bicategories

Stephen Lack

Research output: Contribution to journal › Article

38 Citations (Scopus)

Abstract

A cofibrantly generated Quillen model structure on the category Bicats, of bicategories and strict homomorphisms is constructed. Another such structure on the category 2-Cat of 2-categories and 2-functors is described, correcting the construction given in an earlier paper. The fully faithful inclusion of 2-Cat, in Bicats, is shown to be the right adjoint part of a Quillen equivalence.

Original language	English
Number of pages	13
Journal	K-theory
Publication status	Published - 2004

Keywords

2-Cat
Bicats
Quillen model

Cite this

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title = "A Quillen model structure for bicategories",

abstract = "A cofibrantly generated Quillen model structure on the category Bicats, of bicategories and strict homomorphisms is constructed. Another such structure on the category 2-Cat of 2-categories and 2-functors is described, correcting the construction given in an earlier paper. The fully faithful inclusion of 2-Cat, in Bicats, is shown to be the right adjoint part of a Quillen equivalence.",

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language = "English",

journal = "K-theory",

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PY - 2004

Y1 - 2004

N2 - A cofibrantly generated Quillen model structure on the category Bicats, of bicategories and strict homomorphisms is constructed. Another such structure on the category 2-Cat of 2-categories and 2-functors is described, correcting the construction given in an earlier paper. The fully faithful inclusion of 2-Cat, in Bicats, is shown to be the right adjoint part of a Quillen equivalence.

AB - A cofibrantly generated Quillen model structure on the category Bicats, of bicategories and strict homomorphisms is constructed. Another such structure on the category 2-Cat of 2-categories and 2-functors is described, correcting the construction given in an earlier paper. The fully faithful inclusion of 2-Cat, in Bicats, is shown to be the right adjoint part of a Quillen equivalence.

KW - 2-Cat

KW - Bicats

KW - Quillen model

UR - http://handle.uws.edu.au:8081/1959.7/10501

M3 - Article

SN - 0920-3036

JO - K-theory

JF - K-theory

ER -

A Quillen model structure for bicategories

Abstract

Keywords

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