5

Part of 1993 Miklós Schweitzer

Problems(1)

Source: miklos schweitzer 1993 q5

Does the set of real numbers have a well-order

\prec

such that the intersection of the subset

\{(x,y) : x\prec y\}

of the plane with every line is Lebesgue measurable on the line?

Measure theoryreal analysisordered set