A quillen model structure for bicategories

Stephen Lack

doi:10.1007/s10977-004-6757-9

A quillen model structure for bicategories

Stephen Lack^*

^*Corresponding author for this work

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

26 Citations (Scopus)

Abstract

A cofibrantly generated Quillen model structure on the category Bicat _s, 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 Bicat_s, is shown to be the right adjoint part of a Quillen equivalence.

Original language	English
Pages (from-to)	185-197
Number of pages	13
Journal	K-Theory: interdisciplinary journal for the development, application and influence of K-theory in the mathematical sciences
Volume	33
Issue number	3
DOIs	https://doi.org/10.1007/s10977-004-6757-9
Publication status	Published - Nov 2004
Externally published	Yes

Keywords

2-Cat
Bicat
Quillen model

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10.1007/s10977-004-6757-9

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Cite this

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abstract = "A cofibrantly generated Quillen model structure on the category Bicat s, 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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AB - A cofibrantly generated Quillen model structure on the category Bicat s, 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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KW - Bicat

KW - Quillen model

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U2 - 10.1007/s10977-004-6757-9

DO - 10.1007/s10977-004-6757-9

M3 - Article

AN - SCOPUS:17144413344

VL - 33

SP - 185

EP - 197

JO - K-Theory: interdisciplinary journal for the development, application and influence of K-theory in the mathematical sciences

JF - K-Theory: interdisciplinary journal for the development, application and influence of K-theory in the mathematical sciences

SN - 0920-3036

IS - 3

ER -

A quillen model structure for bicategories

Abstract

Keywords

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