Pairwise Paracompactness

Pallavi S. Mirajakar, P.G. Patil

Abstract


The purpose of this paper is to introduce and study a new paracompactness in bitopological spaces using (τi, τj)-g∗ωα-closed sets. Further, the properties of (τi, τj)-g∗ωα-closed sets, (τi, τj)-g∗ωα- continuous functions and (τi, τj)-g∗ωα-irresolute maps and (τi, τj)- g∗ωα-paracompact spaces are discussed in bitopological spaces.

 


Keywords


(τi, τj)-g∗ωα-closed sets, (τi, τj)-g∗ωα-open sets, (τi, τj)-g∗ωα-continuous and (τi, τj)-g∗ωα-irresolute maps, (τi, τj)-g∗ωα-paracompact spaces.

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DOI: http://dx.doi.org/10.23755/rm.v38i0.495

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Ratio Mathematica - Journal of Mathematics, Statistics, and Applications. ISSN 1592-7415; e-ISSN 2282-8214.