Darboux functions with nowhere dense graphs

被引：1

作者：

Wojcik, Michal Ryszard ^{[1
]}

机构：

[1] Univ Wroclaw, Inst Geog & Reg Dev, PL-50137 Wroclaw, Poland

来源：

TOPOLOGY AND ITS APPLICATIONS | 2014年 / 178卷

关键词：

Darboux property; Connected graph; g(delta) graph; Baire one function; SUM;

D O I：

10.1016/j.topol.2014.08.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the set of discontinuity points of real-valued Darboux functions with nowhere dense graphs. It is shown to be meager. By generic constructions we show that it can be any meager countable union of perfect sets and any meager countable union of pairwise disjoint closed sets. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：30 / 39

页数：10

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