Isometrically invariant extensions of Lebesgue measure


Krzysztof Ciesielski

Proc. Amer. Math. Soc. 110 (1990), 799-801

The purpose of this note is to give a very short prove of the theorem that every isometrically invariant measure extending Lebesgue measure on Rn has a proper isometrically invariant extension, i.e., that there is no maximal isometrically invariant extension of Lebesgue measure on Rn.

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Last modified May 6, 1999.