论文标题
$（\ infty，2）$ - 类别的灰色张量产品和松弛函数
Gray tensor products and lax functors of $(\infty,2)$-categories
论文作者
论文摘要
我们在缩放的简单集的设置中给出了一个灰色张量产品的定义，该集合是关联的，并相对于Lurie的生物学模型类别形成了左quillen双肢。然后，我们在此设置中引入了Oplax函数的概念，并将其使用以通过通用属性来表征灰色张量产品。步态竞争和rozenblyum在其对灰产品的定义中使用了类似的表征，从而为比较这两种设置提供了有希望的铅。
We give a definition of the Gray tensor product in the setting of scaled simplicial sets which is associative and forms a left Quillen bifunctor with respect to the bicategorical model category of Lurie. We then introduce a notion of oplax functor in this setting, and use it in order to characterize the Gray tensor product by means of a universal property. A similar characterization was used by Gaitsgory and Rozenblyum in their definition of the Gray product, thus giving a promising lead for comparing the two settings.
