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

22 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

Access to Document

10.1007/s10977-004-6757-9

Link to publication in Scopus

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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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M3 - Article

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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

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