Example 6.2.2.5. Let $\operatorname{\mathcal{C}}$ be an $\infty $-category which contains a final object, and let $\operatorname{\mathcal{C}}^{\mathrm{fin}}$ denote the full subcategory of $\operatorname{\mathcal{C}}$ spanned by its final objects (so that $\operatorname{\mathcal{C}}^{\mathrm{fin}}$ is a contractible Kan complex: see Corollary 4.6.7.14). Then $\operatorname{\mathcal{C}}^{\mathrm{fin}}$ is a reflective subcategory of $\operatorname{\mathcal{C}}$.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$