• ON SOME PROPERTIES OF 𝛂bg ̂-CLOSED SETS IN TOPOLOGICAL SPACES

Stella Irene Mary.J *, NagaJothi. T

Abstract


A new class of closed sets called bg ̂- closed sets in topological spaces is introduced. This class contains the class of all -closed sets and is contained in the class of all (g ) ̂ and b(g ) ̂ closed sets. The inclusion relationships of this new class with other known classes of closed sets are investigated. Also new classes of spaces, based on the class of bg ̂-closed sets are introduced and their properties are analyzed.

Keywords


-closed sets, b-closed sets, g ̂-open sets, bg ̂ - open sets, bg ̂-closed sets, bg ̂-continuous, bg ̂-open map and T_("" bg ̂)^c space.

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