Article

Separating sets in bitopological spaces by ????-LSC and ℒ-USC functions

Published in: Quaestiones Mathematicae
Volume 42 , issue 8 , 2019 , pages: 1117–1124

DOI: 10.2989/16073606.2018.1508092

Author(s): Paulina Szyszkowska Kazimierz Wielki University, Poland

Keywords: Primary 26A21 , 54E55 , Secondary 26A15 , 54C08 , Primary 26A21 , 54E55 , Secondary 26A15 , 54C08

Abstract

In this paper we characterize the pairs ⟨A₀, A₁⟩ and ⟨A⁻, A⁺⟩ of disjoint subsets of bitopological space (X, ????, ℒ) which can be separated by the function f : X → ℝ simultaneously lower semicontinuous in the topology ???? and upper semicontinuous in the topology ℒ.

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