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.