Abstract
We improve and generalize the result of Kirchheim and Natkaniec [Kirchheim, B., Natkaniec, T.: Exceptional directions for Sierpi´nski’s nonmeasurablesets, Fund. Math. 140 (1992), 237-245] by proving that there exists D ⊂[0, π) of full outer measure such that the class ∩θ∈DG2(θ) ∩∩θ∈[0,π)G3(θ) contains a nonmeasurable set. The present result is obtained within ZFC.
DOI: https://doi.org/10.2478/v10127-010-0022-9 | Journal eISSN: 1338-9750 (formerly 1210-3195) | Journal ISSN: 1210-3195
Language: English
Page range: 79 - 83
Published on: Nov 13, 2012
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year
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© 2012 Marta Frankowska, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons License.