Abstract

S. Marcus used a fat Cantor set to show that there is a quasicontinuous function from the interval to that is not Lebesgue measurable. However, his article is not very well known. We give a very simple example of a quasicontinuous non-Lebesgue measurable function from to and we show that there are quasicontinuous non-Lebesgue measurable functions and quasicontinuous Lebesgue measurable functions.

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