A Quillen model structure for bicategories. (English) Zbl 1069.18008

The author studies Quillen model structure on the category of bicategories and strict homomorphisms of bicategories. The fully faithfully inclusion of the category of 2-categories and 2-functors in the above category has a left adjoint, and this adjunction turns out to be a Quillen equivalence. In fact the author treats Quillen model structure within a broader framework of bicategories. The paper is very precisely written and will be significantly useful to any researchers of the field.


18D05 Double categories, \(2\)-categories, bicategories and generalizations (MSC2010)
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