Hahn decomposition

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Hahn decomposition [¦hän dē‚käm·pə′zish·ən]

(mathematics)

The Hahn decomposition of a measurable spaceXwith signed measuremconsists of two disjoint subsetsAandBofXsuch that the union ofAandBequalsX, Ais positive with respect tom, andBis negative with respect tom.

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