Last Updated :2025/11/25

Lebesgue measurable

Adjective
not-comparable
Japanese Meaning
(数学解析の文脈で)あるユークリッド空間(またはその部分集合)において、ルベーグ測度が定義可能な集合、つまりその集合に対してルベーグ測度が適用される対象であることを示す性質
What is this buttons?

定理を証明するためには、任意のルベーグ測度で可測な集合を外側から開集合で、内側から閉集合で近似すれば十分である。

Quizzes for review

(mathematical analysis) (of a set in some k-dimensional Euclidean space) That it is an element of the domain of the Lebesgue measure of the ambient Euclidean space.

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Lebesgue measurable

To prove the theorem, it suffices to approximate every Lebesgue measurable set by open sets from the outside and closed sets from the inside.

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To prove the theorem, it suffices to approximate every Lebesgue measurable set by open sets from the outside and closed sets from the inside.

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