ON EXPONENTIABLE SOFT TOPOLOGICAL SPACES

An object X of a category C with finite limits is calledexponentiable if the functor − × X : C ! C has a right adjoint.There are many characterizations of the exponentiable spaces in thecategory Top of topological spaces. Here, we study the exponentiable objects in the category STop of soft topological spaces whichis a generalization of the category Top. We investigate the exponentiability problem and give a characterization of exponentiablesoft spaces. Also we give the definition of exponential topologyon the lattice of soft open sets of a soft space and present somecharacterizations of it.

Keywords:

Soft set theory , Soft topology , Exponentiable object