ON SOME MODIFICATION OF DARBOUX PROPERTY

被引：15

作者：

Ivanova, Gertruda ^{[1
]}

Wagner-Bojakowska, Elzbieta ^{[2
]}

机构：

[1] Acad Pomeraniensis, Inst Math, Ul Arciszewskiego 22d, PL-76200 Slupsk, Poland

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

来源：

MATHEMATICA SLOVACA | 2016年 / 66卷 / 01期

关键词：

Darboux property; strong Swiatkowski property; Baire property; I-approximate continuity; quasi-continuous functions; porous set;

D O I：

10.1515/ms-2015-0117

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce some family of functions f : R -> R modifying Darboux property analogously as it was done in GRANDE, Z.: On a subclass of the family of Darboux functions, Colloq. Math. 117 (2009), 95-104, and changing approximate continuity with I-approximate continuity, i.e. continuity with respect to the I-density topology. We prove that our family is a strongly porous set in the space of Darboux functions having the Baire property and that each function from our family is quasi-continuous. (C) 2016 Mathematical Institute Slovak Academy of Sciences

引用

页码：79 / 88

页数：10

共 18 条

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