- Hacettepe Journal of Mathematics and Statistics
- Volume:45 Issue:4
- Soft topological space and topology on the Cartesian product
Soft topological space and topology on the Cartesian product
Authors : Matejdes MİLAN
Pages : 1091-1100
View : 53 | Download : 9
Publication Date : 2016-08-01
Article Type : Research Paper
Abstract :The paper deals with a soft topological space which is dened over an initial universe set U with a xed set of parameters E . The main goal is to point out that any soft topological space is homeomorphic to a topological space $insert ignore into journalissuearticles values( E \times U, \tau );$ where $\tau$ is an arbitrary topology on the product $E \times U$ , consequently many soft topological notions and results can be derived from general topology. Furthermore, in many papers some notions are introduced by dierent ways and it would be good to give a unied approach for a transfer of topological notions to a soft set theory and to create a bridge between general topology and soft set theory.Keywords : Soft set, Soft open closed, set, Soft interior closure, of soft set, Soft topological space, Separation axioms, Soft continuity, Soft e continuity
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