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arXiv · 2203.11845

Dualities in the complicial model of $\infty$-categories

Félix Loubaton
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Abstract

In this note, we study the connection between Gray tensor product and suspension. We derive a characterization of weak equivalences as fully faithful and essentially surjective functors. We construct the $co$ duality, a weak involution that reverses the direction of even dimensional cells. We conclude by studying Grothendieck fibrations of complicial sets.

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Félix Loubaton. 2022-03-22. Dualities in the complicial model of $\infty$-categories. https://arxiv.org/abs/2203.11845

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