Corollary 6.2.3.15. Let $\operatorname{\mathcal{C}}$ be an $\infty $-category. Then there is a bijection
\[ \xymatrix@R =50pt@C=50pt{ \{ \textnormal{Localizing collections of morphisms of $\operatorname{\mathcal{C}}$} \} \ar [d]^{\sim } \\ \{ \textnormal{Replete reflective subcategories of $\operatorname{\mathcal{C}}$} \} , } \]
which assigns to each localizing collection $W$ the full subcategory $\operatorname{\mathcal{C}}' \subseteq \operatorname{\mathcal{C}}$ spanned by the $W$-local objects.