The nonmeasurability of Bernstein sets and related topics

Details The nonmeasurability of Bernstein sets and related topics The nonmeasurability of Bernstein sets and related topics

2008-09-03

arxiv.org/abs/0809.0540v3

Mathematics

Classical Analysis and ODEs

This paper has been withdrawn by the author. withdrawn

Scientific paper

In this article, we shall explore the constructions of Bernstein sets, and
prove that every Bernstein set is nonmeasurable and doesn't have the property
of Baire. We shall also prove that Bernstein sets don't have the perfect set
property.

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