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.
From: Alexander Campbell [view email]
[v1]
Tue, 2 Jun 2026 05:59:15 UTC (26 KB)
[v2]
Wed, 3 Jun 2026 01:43:55 UTC (26 KB)
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