On a class of sets between a-open sets and gδ-open sets

Jagadeesh B. Toranagatti

Abstract


In this paper, a new class of sets called Da-open sets are introduced and investigated with the help of gδ-open and δ-closed sets. Relationships between this new class and other related classes of sets are established and as an application Da-continuous functions have been dened to study its properties in terms of Da-open sets.Finally, some properties of Da-closed graph and (D.a)-closed graphs are investigated.


Keywords


a-open set,δ-open set,gδ-open,Da-open set,Da-closed set

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DOI: http://dx.doi.org/10.23755/rm.v39i0.535

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