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 - http://scma.maragheh.ac.ir/article_22216.html
L1 - http://scma.maragheh.ac.ir/article_22216_6c2f05eb0b9ad6ca148f19bd3ef7cb1d.pdf
ER -