Last Updated
:2025/11/26
outer regular
Adjective
not-comparable
Japanese Meaning
ボレル集合に対して、その測度がその集合を含む全ての開集合の測度の下限(最小値に近い値)と一致する性質。 / ある集合(特にボレル集合)が、包含する任意の開集合の測度の下限によってその測度が定義されることを意味する。
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(mathematical analysis) (of a Borel set) That its measure is equal to the infimum of the measures of all open sets which contain it.
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outer regular
To prove the theorem, we first show that the Borel set in question is outer regular by approximating it from above with open sets.
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To prove the theorem, we first show that the Borel set in question is outer regular by approximating it from above with open sets.
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