Fernando Abellán
In this work, we study oplax normalised functors of (∞,2)-categories. Our main theorem is a comparison between the notion of oplax normalised functor of scaled simplicial sets due to Gagna-Harpaz-Lanari and the corresponding notion in the setting of complete Segal objects in (∞,1)-categories studied by Gaitsgory and Rozenblyum. As a corollary, we derive that the Gray tensor product of (∞, 2)-categories as defined by Gaitsgory-Rozenblyum is equivalent to that of Gagna-Harpaz-Lanari. Moreover, we construct an (∞,2)-categorical variant of the quintet functor of Ehres- mann, from the (∞,2)-category of (∞, 2)-categories to the (∞,2)-category of double (∞,1)- categories and show that it is fully faithful.
