Exceptional directions for Sierpiński's nonmeasurable sets
Volume 140 / 1992
Fundamenta Mathematicae 140 (1992), 237-245
DOI: 10.4064/fm-140-3-237-245
Abstract
In [2] the question was considered in how many directions can a nonmeasurable plane set behave even "better" than the classical one constructed by Sierpiński in [6], in the sense that any line in a given direction intersects the set in at most one point. We considerably improve these results and give a much sharper estimate for the size of the sets of those "better" directions.
