Last Updated:2025/12/05
The outer measure assigns to each subset the infimum of the premeasures of all countable covers by premeasurable sets, ensuring monotonicity, subadditivity, and that the empty set has measure zero.
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The outer measure assigns to each subset the infimum of the premeasures of all countable covers by premeasurable sets, ensuring monotonicity, subadditivity, and that the empty set has measure zero.
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外測度は、全ての部分集合に定義された前測度から導かれる測度類似の関数であり、任意の集合に対してその集合を被覆する前測度可能な集合族の前測度の下限を与え、空集合に対して0を与え、単調性と可算部分加法性を満たす。