On the difference property of families of measurable functions
Tom 97 / 2003
Colloquium Mathematicum 97 (2003), 169-180 MSC: 28A05, 28A20, 39A70. DOI: 10.4064/cm97-2-4
We show that, generally, families of measurable functions do not have the difference property under some assumption. We also show that there are natural classes of functions which do not have the difference property in ZFC. This extends the result of Erdős concerning the family of Lebesgue measurable functions.