Baire measure


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Baire measure

[′ber ‚mezh·ər]
(mathematics)
A measure defined on the class of all Baire sets such that the measure of any closed, compact set is finite.
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In this case we prove that any Baire measure can be uniquely extended to regular Borel measure.
0](X) [right arrow] E, a unique Baire measure, satisfying all the conditions of the above theorem, except Borel extension.
sigma]](X) denotes the class of all scalar-valued, countably additve Baire measures on X.