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Miklos Schweitzer 1949_1

Source:

October 2, 2008
limitreal analysisreal analysis unsolved

Problem Statement

Let an infinite sequence of measurable sets be given on the interval (0,1) (0,1) the measures of which are ≥α>0 \geq \alpha>0. Show that there exists a point of (0,1) (0,1) which belongs to infinitely many terms of the sequence.
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