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Part of 1949 Miklós Schweitzer

Problems(1)

Miklos Schweitzer 1949_1

Source:

10/2/2008
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.
limitreal analysisreal analysis unsolved