ScalingStacks

Remark 10.2. The class of subobjects which are weakly equivalent to $F(n)$ is not exhausted by the coverings. For example, one can show that for $0<i<n$ the subobject $\dot{F}(n)\setminus d^{i}F(n-1)$ (the “boundary” of $F(n)$ with a “face” removed which is neither the first nor the last face) is weakly equivalent to $F(n)$ in the Segal space model category structure, but is not a cover.