Support (mathematics): Difference between revisions
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imported>Aleksander Stos (a very basic definition) |
imported>Aleksander Stos No edit summary |
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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. | '''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 [[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 12:43, 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.