Abstract

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

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