Spaces of lower semicontinuous set-valued maps

Author:

Holá Ľubica1,Holý Dušan2

Affiliation:

1. Academy of Sciences, Institute of Mathematics, Štefánikova 49, SK-814, 73 Bratislava, Slovakia

2. Department of Mathematics and Computer Science Faculty of Education, Trnava University, Priemyselná 4, SK-918 43, Trnava, Slovakia

Abstract

Abstract We give a negative answer to Problem 2 posed by R. A. McCoy in his paper [McCoy R. A.: Spaces of lower semicontinuous set-valued maps II, Math. Slovaca 60 (2010), 541–570]. Some topological properties of the space L −(X) introduced in [McCOY R. A.: Spaces of lower semicontinuous set-valued maps I, Math. Slovaca 60 (2010), 521–540] equipped with the Vietoris topology are also investigated.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Topological Properties of the Space of Convex Minimal Usco Maps;Set-Valued and Variational Analysis;2019-03-08

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