On the difference property of the family of functions with the Baire property

被引：0
|
作者：
Filipów, R [1 ]
机构：
[1] Polish Acad Sci, Math Inst, PL-81825 Sopot, Poland
来源：
ACTA MATHEMATICA HUNGARICA | 2003年 / 100卷 / 1-2期
关键词：
difference property; Baire property;
D O I：
10.1023/A:1024608301864
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that it is consistent with ZFC that the family of functions with the Baire property has the difference property. That is, every function for which f (x + h) - f (x) has the Baire property for every h is an element of R is of the form f = g + A where g has the Baire property and A is additive.
引用
收藏
页码：97 / 104
页数：8
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