GENERALIZED LOCALLY PAIRWISE CLOSED SETS ON BITOPOLOGICAL SPACES AND SOME OF ITS PROPERTIES

In this paper, we introduce the notions of generalized locally pairwise closed sets, generalized locally pairwise closed star sets, generalized locally pairwise closed star star sets on bitopological spaces and study some of their properties. The properties of the space (X, τ1, τ2) are studied through the study of the space (X, τ12) which is a supra topology associated to the bitopological space (X, τ1, τ2). Also, characterization of these sets have obtained. Finally, we introduce the notions of GLPC− ( resp. GLPC∗, GLPC∗∗) (continuous) irresolute functions which based on these sets and study some of their properties. 2010 Mathematics Subject Classification. 54A05, 54XX, 06D72, 54A40, 54E55.