A note on strong quasi-continuity of multifunctions

被引：1

作者：

Kwiecinska, Grazyna ^{[1
]}

机构：

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

来源：

EUROPEAN JOURNAL OF MATHEMATICS | 2019年 / 5卷 / 01期

关键词：

Multifunctions; Continuity; Quasi-continuity; Strong quasi-continuity; Measurability;

D O I：

10.1007/s40879-018-0239-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We generalize the notion of strong quasi-continuity for real functions of real variable, given by Grande (Real Anal Exchange 21(1):236-243, 1995/1996), to the case of multifunctions in topological spaces. We introduce a differentiation base in a metric space and show that a strong quasi-continuous multifunction with respect to this differentiation base is almost everywhere continuous.

引用

页码：186 / 193

页数：8

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