on exponentiable soft topological spaces

Authors

ghasem mirhosseinkhani

department of mathematics, sirjan university of technology, sirjan, iran. ahmad mohammadhasani

department of mathematics, sirjan university of technology, sirjan, iran.

abstract

an object $x$ of a category $mathbf{c}$ with finite limits is called exponentiable if the functor $-times x:mathbf{c}rightarrow mathbf{c}$ has a right adjoint. there are many characterizations of the exponentiable  spaces in the category $mathbf{top}$ of topological spaces. here, we study the exponentiable objects in the category $mathbf{stop}$ of soft topological spaces which is a generalization of the category  $mathbf{top}$. we investigate  the exponentiability problem and give a characterization of exponentiable soft spaces. also wegive the definition of exponential topology on the lattice of soft open sets of a soft space and present some characterizations of it.

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Journal title:
sahand communications in mathematical analysis

جلد ۴، شماره ۱، صفحات ۱-۱۴

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