---- > [!definition] Definition. ([[smooth immersion]]) > An **smooth immersion** is a [[smooth maps between manifolds|smooth map]] between [[smooth manifold|smooth manifolds]] whose [[differential of a smooth map between smooth manifolds|pushforward]] is everywhere [[injection|injective]] (even though the set-map itself might not be). ^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 > ```