---- > [!definition] Definition. ([[uniform topology]]) > Let $J$ be an index set. The [[topological space|topology]] on $\mathbb{R}^{J}$ [[metric topology|induced by]] the [[uniform metric]] is called the **uniform topology on $\mathbb{R}^{J}$**. ![[uniform metric#^fb1fbe]] #### ---- #### References > [!backlink] > ```dataview > TABLE rows.file.link as "Further Reading" > FROM [[]] > FLATTEN file.tags as Tag > WHERE Tag = "#definition" OR Tag = "#theorem" OR Tag = "#MOC" OR Tag = "#proposition" OR Tag = "#axiom" > GROUP BY Tag > ``` > [!frontlink] > ```dataview > TABLE rows.file.link as "Further Reading" > FROM outgoing([[]]) > FLATTEN file.tags as Tag > WHERE Tag = "#definition" OR Tag = "#theorem" OR Tag = "#MOC" OR Tag = "#proposition" OR Tag = "#axiom" > GROUP BY Tag > ```