# Kerodon

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Example 6.2.2.5. Let $\operatorname{\mathcal{C}}$ be an $\infty$-category, and let $\operatorname{\mathcal{C}}^{\triangleright } \simeq \operatorname{\mathcal{C}}\star \{ X\}$ denote the right cone on $\operatorname{\mathcal{C}}$. Then the cone point $\{ X \}$ is a reflective subcategory of $\operatorname{\mathcal{C}}^{\triangleright }$.