ArticleOriginal scientific text
Title
Some Non-Measurable Sets
Authors 1
Affiliations
- Institute of Mathematics, Technical University of Łódź
Abstract
This paper contains constructions of some non-measurable sets, based on classical Vitali’s and Bernstein’s constructions (see for example [6]). This constructions probably belong to mathematical folklore, but as far as we know they are rather hard to be found in literature. It seems that the constructed sets can be used as examples in some interesting situations.
Keywords
Bernstein set, Vitali set, inner Lebesgue measure, Steinhaus property, Hashimoto topology, Density topology
Pages:
3-9
Main language of publication
English
Published
2010
Exact and natural sciences