The nonmeasurability of Bernstein sets and related topics
Classical Analysis and ODEs
2011-12-06 v3
Abstract
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.
Cite
@article{arxiv.0809.0540,
title = {The nonmeasurability of Bernstein sets and related topics},
author = {Cheng Hao},
journal= {arXiv preprint arXiv:0809.0540},
year = {2011}
}
Comments
This paper has been withdrawn by the author. withdrawn