Abstract

On rw-Closed Sets in Bitopological Spaces

R. S. Wali1 and Basavaraj M. Ittanagi

Department of Mathematics, Bhandari and Rathi College, Guledagudd, INDIA.
1Department of Mathematics, Siddaganga Institute of Technology, Tumkur, Karnataka State, INDIA.

ABSTRACT

In this paper, a new class of sets called (τi, τj)-rw-closed sets are introduced in bitopological spaces. A subset A of a bitopological space (X, τ1, τ2) is said to be (τi, τj)-rw-closed set if τj-cl(A)⊂G and G⊂RSO(X, τi), where {i, j}∈{1, 2} are fixed integers. This new class of sets properly lies between the class of (τi, τj)-w-closed sets and the class of (τi, τj)-rg-closed sets. Some of their properties have been investigated.

Keywords :rw-closed sets, (τi, τj)-w-closed sets, (τi, τj)-g-closed sets, (τi, τj)-rg-closed sets, (τi, τj)-rw-closed sets.

map1 map2 map3