拓扑模糊的笛卡尔闭子范畴

Q4 Mathematics Algebraic Structures and their Applications Pub Date : 2019-03-01 DOI:10.29252/AS.2019.1335

M. Akbarpour, Ghasem Mirhosseinkhani

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引用次数: 0

摘要

如果范畴$mathbf{C}$有有限的积，并且对于每个$mathbf{C}$-对象$A$，函子$(times -): A$有右伴随子，则称为笛卡尔闭范畴$mathbf{C}$。众所周知，所有拓扑模糊的范畴$mathbf{TopFuzz}$都是完备的和协完备的，但它不是笛卡尔闭的。本文引入了该范畴的一些笛卡尔闭子范畴。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Cartesian closed subcategories of topological fuzzes

A category $mathbf{C}$ is called Cartesian closed provided that it has finite products and for each$mathbf{C}$-object $A$ the functor $(Atimes -): Ara A$ 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.

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