nLab
internal infinity-categories contents

category object in an (∞,1)-category, groupoid object

In a 1-category

In a (2,1)-category

In ∞Grpd

In Cat(Cat(Cat(Grpd)))Cat(Cat(\cdots Cat(\infty Grpd)))

In (n,r)-categories

Model category presentations

Internal nn-category

Operadic case