liang183 发表于 2016-10-27 19:12:20

实分析与复分析部分答案

hapterone
3.ProvethatiffisarealfunctiononameasurablespaceXsuchthat{x:f(x)≥r}ismeasurableforeveryrationalr,thenfismeasurable.
:Foreachrealnumberα,thereexistsandescendingsequence{rn}ofrationalnumberssuchthatlimn→∞
rn=α.Moreover,wehave

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