A Quillen model structure for bicategories

Stephen Lack

This appeared in K-Theory 33:185-197, 2004.

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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Steve Lack
Last modified: Thu Mar 31 10:51:56 EST 2005