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Nonmeasurable Sets and Pairs of Transfinite Sequences
  • Branko Ćurgus, Western Washington University
  • Harry I. Miller
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Many proofs of the fact that there exist Lebesgue nonmeasurable subsets of the real line are known. The oldest proof of this result is due to Vitali [4]. The cosets (under addition) of Q, the set of rational numbers, constitute a partition of the line into an uncountable family of disjoint sets, each congruent to Q under translation, Vitali's proof shows that V is nonmeasurable, if V is a set having one and only one element in common with each of these cosets.
Citation Information
Branko Ćurgus and Harry I. Miller. "Nonmeasurable Sets and Pairs of Transfinite Sequences" Radovi Vol. Nauka LXIX (1982) p. 39 - 43
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