CHARACTERIZATION OF QUASI-CONTINUITY OF MULTIFUNCTIONS OF TWO VARIABLES

被引：2

作者：

Fotiy, Olena ^{[1
]}

Maslyuchenko, Oleksandr ^{[2
]}

Nesterenko, Vasyl' ^{[1
]}

机构：

[1] Chernivtsi Natl Univ, Dept Math, Kotsubinsky Str 2, UA-58012 Chernovtsy, Ukraine

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

来源：

MATHEMATICA SLOVACA | 2016年 / 66卷 / 01期

关键词：

multifunction; upper quasi-continuity; lower quasi-continuity; symmetrically upper quasi-continuity; symmetrically lower quasi-continuity; upper horizontally quasi-continuity; lower horizontally quasi-continuity; SPACES;

D O I：

10.1515/ms-2015-0135

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that a compact-valued multifunction F : X x Y -> Z, where X is a Baire space and Y, Z are separable metrizable spaces, is quasi-continuous if and only if F is horizontally quasi-continuous and there exists an residual subset M of X such that for any x is an element of M the multifunction F-x = F(x, .) is quasi-continuous on Y. (C) 2016 Mathematical Institute Slovak Academy of Sciences

引用

页码：281 / 286

页数：6

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