论文标题
积极拓扑类别的关闭和内部操作员
Closure and Interior Operators of the Category of Positive Topologies
论文作者
论文摘要
我们定义和研究闭合$ \ text {\ rsfs {c}} $运算符和内部$ \ mathbf {i} $类别$ \ mathbf {ccov {ccov} $的运算符。本文的主要动机是构建具体类别$ \ MathBf {\ text {\ rsfs {c}}} \ text { - } ccov} $，\ of \ $ \ $ \ $ \ $ \ shatbf {ccov} \ \ $ \ Mathbf {ccov} \ text { - spaces} $的\ of \ $ \ mathbf {ccov} $，并推断出它们是拓扑类别。
We define and study the notions of closure $\text{\rsfs{C}}$ operators and interior $\mathbf{I}$ operators of the category $\mathbf{CCov}$ of convergent covers which appears in positive topologies. The main motivation of this paper is to construct the concrete categories $\mathbf{\text{\rsfs{C}}\text{-} CCov}$, \ of\ $\mathbf{CCov}\text{-spaces}$, and $\mathbf{I}\text{-}\mathbf CCov$, \ of\ $\mathbf{CCov}\text{-spaces}$ and deduce that they are topological categories.
