Abstract
The main purpose of this paper is to discuss the categories of the minimal topological spaces investigated in [1], [2], [7], and [8]. After these results are given, an application will be made to answer the following question: If is the lattice of topologies on a set X and is a Hausdorff (or regular, or completely regular, or normal, or locally compact) topology does there always exist a minimal Hausdorff (or minimal regular, or minimal completely regular, or minimal normal, or minimal locally compact) topology weaker than ?
Publisher
Cambridge University Press (CUP)
Reference9 articles.
1. Minimal regular spaces
2. Minimal Hausdorff and Maximal Compact Spaces;Smythe;Journal,1963
3. Maximal Hausdorff Spaces;Ramanathan;Proc. Indian Acad. Sci.,1947
4. Minimal topological spaces
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献