Countably Sober Spaces

被引：2

作者：

Yang J. ^{[1
]}

Shi J. ^{[1
]}

机构：

[1] College of Mathematics and Information Science, Jiangxi Normal University, 330022, Nanchang

来源：

| 1600年 / Elsevier B.V., Netherlands卷 / 333期

基金：

中国国家自然科学基金;

关键词：

countable filter; countably sober space; P-space; σ-Scott topology;

D O I：

10.1016/j.entcs.2017.08.011

中图分类号：

学科分类号：

摘要：

As a generalization of sober spaces, we introduce the concept of countably sober spaces and prove that some topological constructions preserve countable sobriety. In particularly, we prove that the category with countably sober spaces and continuous mappings is a complete category. We give some characterizations of countably sober spaces via countable filters and obtain the Hofmann-Mislove Theorem for countably sober spaces. © 2017

引用

页码：143 / 151

页数：8

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