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

被引：0
|
作者：
R. Filipów
机构：
[1] Institute of Mathematics,Polish Academy of Sciences Abrahama 18
来源：
Acta Mathematica Hungarica | 2003年 / 100卷
关键词：
difference property; Baire property;
D O I：
暂无
中图分类号：
学科分类号：
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∈R is of the form f=g + Awhere g has the Baire property and A is additive.
引用
收藏
页码：97 / 104
页数：7
相关论文
共 50 条
  • [41] PROPERTY OF LOCALLY CONVEX BAIRE SPACES
    TODD, AR
    SAXON, SA
    MATHEMATISCHE ANNALEN, 1973, 206 (01) : 23 - 34
  • [42] PROPERTY OF LOCALLY CONVEX BAIRE SPACES
    SAXON, SA
    TODD, AR
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 18 (07): : 1057 - &
  • [43] MARCZEWSKI SETS, MEASURE AND THE BAIRE PROPERTY
    WALSH, JT
    FUNDAMENTA MATHEMATICAE, 1988, 129 (02) : 83 - 89
  • [44] THE DETERMINED PROPERTY OF BAIRE IN REVERSE MATH
    Astor, Eric P.
    Dzhafarov, Damir
    Montalban, Antonio
    Solomon, Reed
    Westrick, Linda Brown
    JOURNAL OF SYMBOLIC LOGIC, 2020, 85 (01) : 166 - 198
  • [45] On certain properties of sets with Baire property
    Ganguly, DK
    Dasgupta, M
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2002, 33 (03): : 427 - 429
  • [46] On sets with Baire property in topological spaces
    S. Basu
    Czechoslovak Mathematical Journal, 2000, 50 : 59 - 65
  • [47] MEASURABILITY AND THE BAIRE PROPERTY AT HIGHER LEVELS
    KRAWCZYK, A
    SREBRNY, M
    ZEITSCHRIFT FUR MATHEMATISCHE LOGIK UND GRUNDLAGEN DER MATHEMATIK, 1990, 36 (05): : 377 - 380
  • [48] COUNTABLE DENSE HOMOGENEITY AND THE BAIRE PROPERTY
    FITZPATRICK, B
    ZHOU, HX
    TOPOLOGY AND ITS APPLICATIONS, 1992, 43 (01) : 1 - 14
  • [49] BAIRE PROPERTY OF SOME FUNCTION SPACES
    Osipov, A., V
    Pytkeev, E. G.
    ACTA MATHEMATICA HUNGARICA, 2022, 168 (01) : 246 - 259
  • [50] On sets with Baire property in topological spaces
    Basu, S
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2000, 50 (01) : 59 - 65
12345