Article

Separating sets by lower and upper semicontinuous functions with a closed graph

Published in: Quaestiones Mathematicae
Volume 39 , issue 5 , 2016 , pages: 637–642

DOI: 10.2989/16073606.2015.1124933

Author(s): Jolanta Kosman Kazimirz Wielki University, Institute of Mathematics, Poland

Keywords: 54C30 , 26A15 , 54C08 , 54C20 , 54C30 , 26A15 , 54C08 , 54C20

Abstract

In this paper we characterize the pairs (A⁻, A⁺) of disjoint subsets of perfectly normal topological space which can be separated by a lower and an upper semicontinuous function with a closed graph.

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Article

Separating sets by lower and upper semicontinuous functions with a closed graph

Abstract

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