Kerodon

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

Warning 9.2.7.9. Let $X$ be a Kan complex. If $X$ is essentially finite, then it is finitely dominated. The converse holds if $X$ is simply connected, but not in general (see [MR0211402]). We will return to this point in ยง.