4 papers
A homotopy coherent cellular nerve for bicategories
Alexander Campbell
The subject of this paper is a nerve construction for bicategories introduced by Leinster, which defines a fully faithful functor from the category of bicategories and normal pseud…
A counterexample in quasi-category theory
Alexander Campbell
We give an example of a morphism of simplicial sets which is a monomorphism, bijective on 0-simplices, and a weak categorical equivalence, but which is not inner anodyne. This answ…
On truncated quasi-categories
Alexander Campbell, Edoardo Lanari
For each , a quasi-category is said to be -truncated if its hom-spaces are -types. In this paper we study the model structure for -truncated quasi-categorie…
How strict is strictification?
Alexander Campbell
The subject of this paper is the higher structure of the strictification adjunction, which relates the two fundamental bases of three-dimensional category theory: the $\mathbf{Gray…