Some results on Baireness in generalized topological spaces

Abstract

"The aim of this paper is to extend some results on the Baire category in generalized topological spaces. We will apply the Banach-Mazur game to characterize Baireness in generalized topological spaces. Moreover, we will introduce a new separation axiom for generalized topological spaces which provides opportunity to generalize the Banach category theorem for locally compact generalized topological spaces."