Metriskt yttre mått

Ett metriskt yttre mått är en typ av yttre mått i metriska rum.

Formell definition

Om är ett metriskt rum så är ett yttre mått metriskt om

implicerar att

för alla .

I metriska rum är ett yttre mått metriskt om och endast om det är Borel.

Exempel

Yttre Lebesguemåttet och yttre Hausdorffmåttet är metriskt.

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