Research Article

Separating sets by bilaterally quasi-continuous functions

Published in: Quaestiones Mathematicae
Volume 43 , issue 10 : Entrepreneurship and Africa’s Cultural Context , 2024 , pages: 1405–1413
DOI: 10.2989/16073606.2019.1631228
Author(s): Paulina Szyszkowska , 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 (A 0, A 1) and (A−, A +) of disjoint sets which can be separated by a bilaterally quasi-continuous function. Moreover, we characterize when two arbitrary subsets of the real line can be separated by bilaterally dense in themselves semi-open sets.
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