Effective decomposition of σ-continuous Borel functions

被引：3
|
作者：
Debs, Gabriel [1 ]
机构：
[1] Inst Math Jussieu, F-75252 Paris 05, France
来源：
FUNDAMENTA MATHEMATICAE | 2014年 / 224卷 / 02期
关键词：
Borel functions; Product spaces; Wadge classes; σ-continuous;
D O I：
10.4064/fm224-2-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that if a Delta(1)(1) function f with Sigma(1)(1) domain X is sigma-continuous then one can find a Delta(1)(1) covering (A(n))(n epsilon w) of X such that f(vertical bar An) is continuous for all n. This is an effective version of a recent result by Pawlikowski and Sabok, generalizing an earlier result of Solecki.
引用
收藏
页码：187 / 202
页数：16
相关论文
共 50 条
12345