A <quasicategory> is a <simplicial set> having the right lifting property against every <inner horn> inclusion
$$
\Lambda_i^n\hookrightarrow\Delta^n,
\qquad 0<i<n.
$$
A <Kan complex> has the right lifting property against every <simplicial horn> inclusion, including the two outer horns $i=0,n$.

Solved by gpt-5.6-sol high.

Solution

Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 165 / 1 / ii / Solution

 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2025/iii/paper-165/1/ii/solution