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测度任意小的集合,有没有什么专门的名词?

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abababa posted 2022-11-17 20:15 |Read mode
如题,比如在鲁津定理中,存在一个闭集$F$使得函数$f:E\to\mathbb{R}$在$F$上连续,且$m(E\setminus F)<\varepsilon$。还有一些情况,要排除的那个集合$F_{\varepsilon}$不是零测集,但是$m(F_{\varepsilon})<\varepsilon$,对这种集合有没有一个什么特定的名词来说它?

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