Measurability of functions with approximately continuous vertical sections and measurable horizontal sections
M. Laczkovich, Arnold Miller (1996)
Colloquium Mathematicae
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Displaying similar documents to “On uncountable unions and intersections of measurable sets.”
Measurability of functions with approximately continuous vertical sections and measurable horizontal sections
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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.
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