Last Updated：2025/11/26
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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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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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Related words
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。
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