论文标题
内部邻里结构II：封闭和封闭形态
Internal Neighbourhood Structures II: Closure and closed morphisms
论文作者
论文摘要
我的早期论文首先引入了任何有限共同点和适当分解结构的有限完整类别内的内部偏头空间。本文提出了对内部前毛空间进行关闭操作，并调查了封闭的象形及其近亲盟友。因此，它引入了几个著名的拓扑空间的类似物，用于前毛的空间。本文确定了这些空间的一些初步特性。本文的结果表现出比闭合操作员更通用，并且可以方便地识别与诱导的闭合算子相对于形态的连续性而独立于形态的类别的特性。
Internal preneighbourhood spaces inside any finitely complete category with finite coproducts and proper factorisation structure were first introduced in my earlier paper. This paper proposes a closure operation on internal preneighbourhood spaces and investigates closed morphisms and its close allies. Consequently it introduces analogues of several well known classes of topological spaces for preneighbourhood spaces. Some preliminary properties of these spaces are established in this paper. The results of this paper exhibit preneighbourhood systems are more general than closure operators and conveniently allows identifying properties of classes of morphisms independent of continuity of morphisms with respect to induced closure operators.
