论文标题

$ \ infty $ - 类别的复杂模型中的二元性

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

论文作者

Loubaton, Félix

论文摘要

在本说明中,我们研究了灰色张量产品与悬浮液之间的联系。我们将弱等价的表征得出了完全忠实的和本质上是溢流函子的特征。我们构建了$ co $二元性,这是一种薄弱的互动,可以逆转甚至尺寸单元的方向。我们结束了相互作用集合的Grothendieck纤维纤维。

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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