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Saturated measure : ウィキペディア英語版
Saturated measure
In mathematics, a measure is said to be saturated if every locally measurable set is also measurable.〔Bogachev, Vladmir (2007). ''Measure Theory Volume 2''. Springer. ISBN 978-3-540-34513-8.〕 A set E, not necessarily measurable, is said to be locally measurable if for every measurable set A of finite measure, E \cap A is measurable. \sigma-finite measures, and measures arising as the restriction of outer measures, are saturated.
==References==


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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