Kerodon

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

Question 5.6.0.1. Let $U: \operatorname{\mathcal{E}}\rightarrow \operatorname{\mathcal{C}}$ be a cocartesian fibration of $\infty $-categories. To what extent can $U$ be recovered from the collection of $\infty $-categories $\{ \operatorname{\mathcal{E}}_{C} \} _{C \in \operatorname{\mathcal{C}}}$?