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Support (mathematics)
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<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, the support of a <a href="/facts/Real_number/R02gw5Pb">real-valued</a> <a href="/facts/Function_(mathematics)/CdReEKCh">function</a> f {\displaystyle f} is the <a href="/facts/Subset/SJGERmbA">subset</a> of the function <a href="/facts/Domain_of_a_function/FQvoeUpX">domain</a> of elements that are not mapped to zero. If the domain of f {\displaystyle f} is a <a href="/facts/Topological_space/v2ut7CbK">topological space</a>, then the support of f {\displaystyle f} is instead defined as the smallest <a href="/facts/Closed_set/upYnRTUj">closed set</a> containing all points not mapped to zero. This concept is used widely in <a href="/facts/Mathematical_analysis/XXeR26Ih">mathematical analysis</a>. </p>