On the difference property of Borel measurable functions

If an atomlessly measurable cardinal exists, then the class of Lebesgue measurable functions, the class of Borel functions, and the Baire classes of all order have the difference property. This gives a consistent positive answer to Laczkovich’s Problem 2 posed in [11]. We also give a complete positive answer to Laczkovich’s Problem 3 in [11] concerning… CONTINUE READING