A nonmeasurable partition of the reals

Abstract

It is shown that there are Vitali type Lebesgue nonmeasurable subsets V of, say, the real unit interval with outer measure of V being equal to any preassigned positive real ≤ 1 and with inner measure of V being always equal to 0.

Department(s)

Mathematics

Document Type

Article

DOI

https://doi.org/10.36045/bbms/1102714030

Publication Date

1-1-2001

Journal Title

Bulletin of the Belgian Mathematical Society - Simon Stevin

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