---- > [!definition] Definition. ([[support]]) > Let $X$ be a [[topological space]] and $(Y, 0)$ a [[pointed set]] with distinguished element '$0. The **support** of a function $f:X \to Y$ is $\text{supp }f:= \overline{f ^{-1}(Y-\{ 0 \})},$that is, the [[closure]] of the set $\{ x \in X : f(x) \neq 0 \}$ . ^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 > ```