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arXiv · 2606.03200

A convenient model category for bicategories

Alexander Campbell
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Abstract

We introduce and study the model category of flexible $2$-categories, which is Quillen equivalent to Lack's model category of $2$-categories, but enjoys several excellent properties not shared by the latter. In particular, every object of this model category is cofibrant, it is a monoidal model category with respect to its cartesian closed structure, and its full subcategory of fibrant objects is equivalent to the category of bicategories and normal pseudofunctors.

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Alexander Campbell. 2026-06-02. A convenient model category for bicategories. https://arxiv.org/abs/2606.03200

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