Families of Darboux functions and topology having (J*)-property

被引：2

作者：

Ivanova, Gertruda ^{[1
]}

Karasinska, Aleksandra ^{[2
]}

Wagner-Bojakowska, Elbieta ^{[2
]}

机构：

[1] Pomeranian Univ Slupsk, Inst Math, Kozietulskiego 6-7, PL-76200 Slupsk, Poland

[2] Univ Lodz, Fac Math & Comp Sci, Banacha 22, PL-90238 Lodz, Poland

来源：

TOPOLOGY AND ITS APPLICATIONS | 2019年 / 258卷

关键词：

Function spaces; Continuity; Darboux property; Baire property; Quasi-continuity; Porosity; SETS;

D O I：

10.1016/j.topol.2019.03.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note the (j*)-property, being a generalization of the (*)-property, (lambda*)-property and (d*)-property, is defined. There is proved that if J is an ideal of subsets of the real line containing all singletons and a topology T has the (J*)-property then the family of Darboux functions continuous with respect to the topology T in the domain is strongly porous set in the space of all functions having T-Darboux property with the supremum metric. (C) 2019 Elsevier B.V. All rights reserved.

引用

页码：534 / 542

页数：9

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