Geodesic
Exceptional directions for Sierpiński's nonmeasurable sets
Fundamenta Mathematicae, Tome 140 (1991) no. 3, pp. 237-245 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/fm-140-3-237-245

B. Kirchheim 1 ; Tomasz Natkaniec 1

1 
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B. Kirchheim; Tomasz Natkaniec. Exceptional directions for Sierpiński's nonmeasurable sets. Fundamenta Mathematicae, Tome 140 (1991) no. 3, pp. 237-245. doi: 10.4064/fm-140-3-237-245

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