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In mathematics, in particular in measure theory, an inner measure is a function on the set of all subsets of a given set, with values in the extended real numbers, satisfying some technical conditions. Intuitively, the inner measure of a set is a lower bound of the size of that set. == Definition == An inner measure is a function : defined on all subsets of a set ''X'', that satisfies the following conditions: *Null empty set: The empty set has zero inner measure (''see also: measure zero''). :: * Superadditive: For any disjoint sets A and B, :: * Limits of decreasing towers: For any sequence of sets such that for each ''j'' and :: * Infinity must be approached: If for a set A then for every positive number c, there exists a B which is a subset of A such that, :: 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「inner measure」の詳細全文を読む スポンサード リンク
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