Approximation by continuous functions in the Fell topology

被引：1

作者：

Artico, G. ^{[1
]}

Hola, L. ^{[2
]}

Marconi, U. ^{[1
]}

Moresco, R. ^{[1
]}

机构：

[1] Dipartimento Matemat Pura & Applicata, I-35131 Padua, Italy

[2] Slovak Acad Sci, Inst Math, Bratislava 81473, Slovakia

来源：

TOPOLOGY AND ITS APPLICATIONS | 2008年 / 155卷 / 17-18期

关键词：

Multivalued function; Upper semicontinuity; Fell topology; Vietoris topology;

D O I：

10.1016/j.topol.2007.05.030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the approximation of multivalued functions in the Fell topology by means of single valued continuous functions or minimal upper semicontinuous compact-valued maps. We give a partial answer to Question 5.5 in [R.A. McCoy, Comparison of hyperspace and function space topologies. in: G. Di Maio, L. Hola, (Eds.). Recent Progress in Function Spaces. in: Quad. Mat., vol. 3, Aracne Editrice, Caserta. 1998, pp. 241-251] and to Question 7 in [R.A. McCoy, Fell topology and uniform topology on compacta on spaces of multifunctions, Rostock. Math. Kolloq. 51 (1997) 127-136]. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：2150 / 2157

页数：8

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