On the difference property of families of measurable functions

Rafał Filipów. "On the difference property of families of measurable functions." Colloquium Mathematicae 97.2 (2003): 169-180. <http://eudml.org/doc/285220>.

@article{RafałFilipów2003,
abstract = {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.},
author = {Rafał Filipów},
journal = {Colloquium Mathematicae},
keywords = {difference property; measurable sets; measurable functions; almost invariant sets; group},
language = {eng},
number = {2},
pages = {169-180},
title = {On the difference property of families of measurable functions},
url = {http://eudml.org/doc/285220},
volume = {97},
year = {2003},
}

TY - JOUR
AU - Rafał Filipów
TI - On the difference property of families of measurable functions
JO - Colloquium Mathematicae
PY - 2003
VL - 97
IS - 2
SP - 169
EP - 180
AB - 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.
LA - eng
KW - difference property; measurable sets; measurable functions; almost invariant sets; group
UR - http://eudml.org/doc/285220
ER -