Fix any integer \(n \geq -2\). By [Lur09, Ex. 5.2.8.16], the \(\infty\)-category \(\mathcal S\) of spaces admits a factorization system (\(n\)-connected, \(n\)-truncated),68 which is generated by the singleton \(\{S^{n+1} \rightarrow{\sf pt}\}\).69
Original source: arXiv:2401.02956v2
Original source · 2401.02956v2