Difference between revisions of "Support (mathematics)"

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(a very basic definition)
 
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'''Support''' of a function ''f'' defined on a [[topological space]] with values in the real line is the closure of the set on which ''f''(''x'') ≠ 0.
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'''Support''' of a function ''f'' defined on a [[topological space]] with values in the real line is the closure of the set on which ''f''(''x'') ≠ 0.
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An analogous concept can be introduced for [[distribution (mathematics)|distributions]] (generalized functions) or [[measure (mathematics)|measures]].
  
 
[[Category:CZ Live]]
 
[[Category:CZ Live]]
 
[[Category:Mathematics Workgroup]]
 
[[Category:Mathematics Workgroup]]
 
[[Category:Stub Articles]]
 
[[Category:Stub Articles]]

Revision as of 17:43, 1 December 2007

Support of a function f defined on a topological space with values in the real line is the closure of the set on which f(x) ≠ 0.

An analogous concept can be introduced for distributions (generalized functions) or measures.