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analysis

Source: miklos schweitzer 1993 q5

October 22, 2021
Measure theoryreal analysisordered set

Problem Statement

Does the set of real numbers have a well-order ≺\prec such that the intersection of the subset {(x,y):x≺y}\{(x,y) : x\prec y\} of the plane with every line is Lebesgue measurable on the line?
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