Example 3.5.1.10. Let $X$ be a Kan complex which has only a single $k$-simplex for $0 \leq k \leq n$ (that is, the $n$-skeleton $\operatorname{sk}_{n}(X)$ is isomorphic to $\Delta ^0$). Then $X$ is $(n+1)$-connective. For a partial converse, see Proposition 3.5.2.9.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$