Soft topological space and topology on the Cartesian product
Milan Matejdes2016, Hacettepe Journal of Mathematics and Statistics
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Abstract
The paper deals with a soft topological space which is defined over an initial universe set U with a fixed set of parameters E. The main goal is to point out that any soft topological space is homeomorphic to a topological space (E × U, τ) where τ is an arbitrary topology on the product E × U , consequently many soft topological notions and results can be derived from general topology. Furthermore, in many papers some notions are introduced by different ways and it would be good to give a unified approach for a transfer of topological notions to a soft set theory and to create a bridge between general topology and soft set theory.
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