Nonmeasurable sets with regular sections
Frankowska, Marta
Tatra Mountains Mathematical Publications, Tome 45 (2010), / Harvested from Mathematical Institute
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We improve and generalize the result of Kirchheim and Natkaniec \cite{kirchheim} by proving that there exists $D \subset [0,\pi)$ of full outer measure such that the class $\bigcap_{\theta \in D}\mathcal{G}_2(\theta) \cap \bigcap_{\theta \in [0,\pi)}\mathcal{G}_3(\theta)$ contains a nonmeasurable set. The present result is obtained within ZFC.

Publié le : 2010-01-01
DOI : https://doi.org/10.2478/tatra.v46i0.79 
@article{79,
     title = {Nonmeasurable sets with regular sections},
     journal = {Tatra Mountains Mathematical Publications},
     volume = {45},
     year = {2010},
     doi = {10.2478/tatra.v46i0.79},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/79}
}

Frankowska, Marta. Nonmeasurable sets with regular sections. Tatra Mountains Mathematical Publications, Tome 45 (2010) . doi : 10.2478/tatra.v46i0.79. http://gdmltest.u-ga.fr/item/79/