Maximal Classes of Topological Spaces and Domains Determined by Function Spaces

被引：0

作者：

Jimmie D. Lawson

Luoshan Xu

机构：

[1] Louisiana State University,Department of Mathematics

[2] Yangzhou University,Department of Mathematics

来源：

Applied Categorical Structures | 2003年 / 11卷

关键词：

domain; function space; L-domain; core compact space; -space; Lawson compact; local connectivity;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper the question of what classes A of T0-spaces should be paired with classes ℬ of domains in order that all function spaces [A→B] for A∈A and B∈ℬ are λ-compact domains is considered. It is shown that core compact spaces are paired with bounded complete domains and a class of topological spaces called RW-spaces (with finitely many components) is paired with the class of λ-compact pointed L-domains (L-domains).

引用

页码：391 / 402

页数：11