---- > [!definition] Definition. ([[atlas of a manifold]]) > An **atlas** $\mathscr{{A}}$ of a [[topological manifold]] $M$ is a collection of [[coordinate chart|coordinate charts]] whose domains cover $M$. > > If any two [[coordinate chart|charts]] in $\mathscr{A}$ are [[transition map|smoothly compatible]] with each other, then we call $\mathscr{A}$ a **smooth atlas**. ^definition ---- #### ---- #### 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 > ```