Bernstein集的不可测性及其他性质
The Nonmeasurability of Bernstein Sets and Related Topics
摘要
本文中，我们将研究Bernstein集的构造，并证明Bernstein集为不可测集。我们还将证明此类集合不具备Baire性质，也不具有完备集性质。
Abstract
In this article, we explore the constructions of Bernstein sets, and prove that every Bernstein set is nonmeasurable and doesn\\\\\\\关键词
Bernstein集/不可测集/Baire性质/完备集性质Key words
Bernstein set/non-measurability/property of Baire/perfect set property引用本文复制引用
郝诚.Bernstein集的不可测性及其他性质[EB/OL].(2008-09-12)[2026-04-01].http://www.paper.edu.cn/releasepaper/content/200809-373.学科分类
数学
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