Some Non-Measurable Sets
Acta Universitatis Lodziensis. Folia Mathematica, Tome 17 (2010)
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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.
Mots-clés :
Bernstein set, Vitali set, inner Lebesgue measure, Steinhaus property, Hashimoto topology, Density topology
Kierus, Alicja. Some Non-Measurable Sets. Acta Universitatis Lodziensis. Folia Mathematica, Tome 17 (2010). http://geodesic.mathdoc.fr/item/AULFM_2010_17_a3/
@article{AULFM_2010_17_a3,
author = {Kierus, Alicja},
title = {Some {Non-Measurable} {Sets}},
journal = {Acta Universitatis Lodziensis. Folia Mathematica},
year = {2010},
volume = {17},
language = {en},
url = {http://geodesic.mathdoc.fr/item/AULFM_2010_17_a3/}
}