Last Updated
：2025/11/26
inner regular
Adjective
not-comparable
of a Borel set
Japanese Meaning
ボレル集合が内側正則であるとは、その集合の測度が、集合内に含まれる全てのコンパクト集合の測度の上限と等しいという性質を指す。
Quizzes for review
(mathematical analysis, of a Borel set) Whose measure is equal to the supremum of the measures of all compact sets which are contained by it.
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inner regular
On a locally compact Hausdorff space, the Borel measure is inner regular, so the measure of any Borel set equals the supremum of the measures of compact subsets contained in it.
See correct answer
On a locally compact Hausdorff space, the Borel measure is inner regular, so the measure of any Borel set equals the supremum of the measures of compact subsets contained in it.
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