# Support (mathematics)

## Part of the domain of a mathematical function where the function takes non-zero values / From Wikipedia, the free encyclopedia

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In mathematics, the **support** of a real-valued function $f$ is the subset of the function domain containing the elements which are not mapped to zero. If the domain of $f$ is a topological space, then the support of $f$ is instead defined as the smallest closed set containing all points not mapped to zero. This concept is used very widely in mathematical analysis.

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For other uses in mathematics, see Support § Mathematics.