Cartesian closed subcategories of topological fuzzes

نویسندگان

1 Department of mathematics and Computer Sciences, Sirjan University of Technology, Sirjan, Iran.

2 Department of Mathematics, University of Hormozgan, Bandarabbas, Iran

doi
10.22034/as.2019.1335
چکیده

A category $\mathbf{C}$ is called Cartesian closed  provided that it has finite products and for each$\mathbf{C}$-object $A$ the functor $(A\times -): A\ra A$ has a right adjoint. It is well known that the category $\mathbf{TopFuzz}$  of all topological fuzzes is both complete  and cocomplete, but it is not Cartesian closed. In this paper, we introduce some Cartesian closed subcategories of this category.