Kerodon

$\Newextarrow{\xRightarrow}{5,5}{0x21D2}$ $\newcommand\empty{}$
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$

Remark 3.5.3.8. Let $n$ be a positive integer. Then a simplicial set $X$ is $n$-coskeletal if and only if each connected component of $X$ is $n$-coskeletal (beware that this is false for $n = 0$).