---- > [!definition] Definition. ([[ringed space]]) > A **ringed space** is a pair $(X, \mathcal{O}_{X})$, where $X$ is a [[topological space]] and $\mathcal{O}_{X}$ is a [[sheaf]] of [[ring|rings]] on $X$, call the **structure sheaf** of $X$. ^definition > [!basicexample] > > > > Functions $X \to \mathbb{R}$ (adding & composing) form a [[sheaf]] of [[ring|rings]] $\mathcal{O}_{X}$ on $X$. ^basic-example ---- #### ---- #### 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 > ```