Separating sets by upper semicontinuous quasi-continuous functions

Original Articles

Separating sets by upper semicontinuous quasi-continuous functions

Published in: Quaestiones Mathematicae
Volume 38 , issue 3 , 2015 , pages: 341–348
DOI: 10.2989/16073606.2014.981724
Author(s): Paulina Szczuka Kazimierz Wielki University, Poland
Keywords: Primary 26A21 , 54C30 , Secondary 26A15 , 54C08 , Primary 26A21 , 54C30 , Secondary 26A15 , 54C08
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Abstract

In this paper we characterize the pairs (A0, A1) and (A−, A+) of disjoint sets which can be separated by an upper semicontinuous quasi-continuous function.
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