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arXiv · 2211.16896

Groupoidal 2-quasi-categories and homotopy 2-types

Victor Brittes
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Abstract

We define a notion of groupoidal 2-quasi-categories and show that they are the fibrant objects of a model structure on the category of $\Theta_2$-sets. We show that this model category is Quillen equivalent to the Kan-Quillen model category of simplicial sets and that 2-truncated groupoidal 2-quasi-categories are models for homotopy 2-types.

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Victor Brittes. 2022-11-30. Groupoidal 2-quasi-categories and homotopy 2-types. https://arxiv.org/abs/2211.16896

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