TY - JOUR ID - 22216 TI - On exponentiable soft topological spaces JO - Sahand Communications in Mathematical Analysis JA - SCMA LA - en SN - 2322-5807 AU - Mirhosseinkhani, Ghasem AU - Mohammadhasani, Ahmad AD - Department of Mathematics, Sirjan University of Technology, Sirjan, Iran. Y1 - 2016 PY - 2016 VL - 04 IS - 1 SP - 1 EP - 14 KW - Soft set theory KW - Soft topology KW - Exponentiable object DO - N2 - 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. UR - https://scma.maragheh.ac.ir/article_22216.html L1 - https://scma.maragheh.ac.ir/article_22216_6c2f05eb0b9ad6ca148f19bd3ef7cb1d.pdf ER -