Kerodon

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

Exercise 2.4.1.10. Let $\operatorname{Top}_{\bullet }$ be the simplicial category of Example 2.4.1.5. Show that $\operatorname{Top}_{\bullet }$ is locally Kan (hint: generalize the proof of Proposition 1.2.5.8).