Geodesic
On the difference property of families of measurable functions
Rafał Filipów1
1 Institute of Mathematics Polish Academy of Sciences Abrahama 18 81-825 Sopot, Poland
Colloquium Mathematicum, Tome 97 (2003) no. 2, pp. 169-180 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/cm97-2-4
Keywords: generally families measurable functions have difference property under assumption there natural classes functions which have difference property zfc extends result erd concerning family lebesgue measurable functions

Rafał Filipów 1

1 Institute of Mathematics Polish Academy of Sciences Abrahama 18 81-825 Sopot, Poland 
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Rafał Filipów. On the difference property of families
 of measurable functions. Colloquium Mathematicum, Tome 97 (2003) no. 2, pp. 169-180. doi: 10.4064/cm97-2-4

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