Measures (measure theory)

Baire measure

In mathematics, a Baire measure is a measure on the ฯƒ-algebra of Baire sets of a topological space whose value on every compact Baire set is finite. In compact metric spaces the Borel sets and the Baire sets are the same, so Baire measures are the same as Borel measures that are finite on compact sets. In general Baire sets and Borel sets need not be the same. In spaces with non-Baire Borel sets, Baire measures are used because they connect to the properties of continuous functions more directly. (Wikipedia).

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More resources available at www.misterwootube.com

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Abonniert den Kanal, damit er auch in Zukunft bestehen kann. Es ist vollkommen kostenlos und ihr werdet direkt informiert, wenn ich einen Livestream anbiete. Hier erklรคre ich den Satz von Baire.

From playlist Funktionalanalysis

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Related pages

Borel set | Topological space | Borel measure | Haar measure | Pontryagin duality | Unit interval | Baire set | ฮฃ-algebra | Measure (mathematics) | Continuous function | Abelian group | Locally compact group | Counting measure