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Nonmeasurable sets with regular sections

In: Tatra Mountains Mathematical Publications, vol. 46, no. 2
Marta Frankowska
Detaily:
Rok, strany: 2010, 79 - 83
Kľúčové slová:
Sierpiński set, nonmeasurable sets on the plane, sections of the plane set.
O článku:
We improve and generalize the result of Kirchheim and Natkaniec [Kirchheim, B., Natkaniec, T.: \textit{Exceptional directions for Sierpiński's nonmeasurable sets}, Fund. Math. \textbf{140} (1992), 237--245] 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.
Ako citovať:
ISO 690:
Frankowska, M. 2010. Nonmeasurable sets with regular sections. In Tatra Mountains Mathematical Publications, vol. 46, no.2, pp. 79-83. 1210-3195.

APA:
Frankowska, M. (2010). Nonmeasurable sets with regular sections. Tatra Mountains Mathematical Publications, 46(2), 79-83. 1210-3195.