The model category of distinguished Gray-categories
Alexander Campbell – 3 March 2021
A "distinguished Gray-category" is a category enriched over the cartesian closed category of algebraically cofibrant 2-categories. These can be seen as Gray-categories with extra structure. In this talk, I will construct a model structure on the category of distinguished Gray-categories and describe its basic features. In a sequel to this talk, we will study a subcategory of algebraically cofibrant objects in this model category.