Cartesian closed subcategories of topological fuzzes

Document Type : Research Paper

Authors

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

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

Abstract

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.

Keywords

References

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Algebraic Structures and Their Applications
Volume 6, Issue 1
March 2019
Pages 23-33

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