On the difference property of families of measurable functions
Rafał Filipów
Colloquium Mathematicae, Tome 96 (2003), p. 169-180 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:285220 
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Rafał Filipów. On the difference property of families of measurable functions. Colloquium Mathematicae, Tome 96 (2003) pp. 169-180. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm97-2-4/