On T1 T2-g-Open Sets in Bitopological Spaces
K. Vithyasangaran *
Department of Mathematics, Faculty of Science, Eastern University, Sri Lanka.
P. Elango
Department of Mathematics, Faculty of Science, Eastern University, Sri Lanka.
S. Sathaananthan
Department of Mathematics, Faculty of Science, Eastern University, Sri Lanka.
J. Sriranganesan
Department of Mathematics, Faculty of Science, Eastern University, Sri Lanka.
P. Paramadevan
Department of Mathematics, Faculty of Science, Eastern University, Sri Lanka.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we introduced and studied a new kind of generalized open set called τ1τ2-g-open set in a bitopological space (X, τ1, τ2). The properties of this τ1τ2-g-open set are studied and compared with some of the corresponding generalized open sets in general topological spaces and bitopological spaces. We also dened the τ1τ2-g-continuous function and studied some its properties.
Keywords: Generalized open sets, bitopological spaces, continuous maps.