Title of article :
Soft countable topological spaces
Author/Authors :
Bayramov. Sadi Department of Algebra and Geometry - Baku State University, Baku, Azerbaijan , Aras, Cigdem Gunduz Department of Mathematics - Kocaeli University, Kocaeli, Turkey , Cafarli, Vefa Department of Algebra and Geometry - Baku State University, Baku, Azerbaijan
Abstract :
In 1999, Russian researcher Molodtsov proposed the new concept of a soft set which can be
considered as a new mathematical approach for vagueness. Soft topological spaces have been studied by
some authors in recent years. The purpose of this paper is to investigate some concepts of soft topological
spaces which is a generalization to the notion of topological spaces. We give some new concepts in soft
topological spaces such as soft first-countable spaces, soft second-countable spaces and soft separable
spaces, soft sequential continuity and some important properties of these concepts are investigated
Keywords :
Soft set , soft point , soft A1-space , soft A2-space , soft separable space and soft sequentially continuity
Journal title :
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences