Kerodon

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

Warning 5.4.7.14. In the situation of Corollary 5.4.7.13, the induced map $\operatorname{Pith}(\operatorname{\mathcal{C}}_{/f} ) \rightarrow \operatorname{Pith}(\operatorname{\mathcal{C}}_{/f_0})$ is generally not a cartesian fibration, and the induced map $\operatorname{Pith}( \operatorname{\mathcal{C}}_{f/}) \rightarrow \operatorname{Pith}( \operatorname{\mathcal{C}}_{f_0/} )$ is generally not a cocartesian fibration.