论文标题
柔软的最大拓扑
Soft Maximal Topologies
论文作者
论文摘要
在各种文章中，据说公共宇宙上所有软拓扑的类都是一个完整的晶格，但是在本文中，我们证明这是一个完整的晶格。一些软拓扑是最大的，有些相对于某些软拓扑特性而言是最小的。我们研究了最大的软紧凑型和软连接拓扑的性能。特别是，我们证明了最大的软紧凑型拓扑具有相同的柔软紧凑型和柔软的封闭套件的家族，并且它也是柔软的$ t_1 $。
In various articles, it is said that the class of all soft topologies on a common universe forms a complete lattice, but in this paper, we prove that it is a complete lattice. Some soft topologies are maximal and some are minimal with respect to certain soft topological properties. We study the properties of soft compact and soft connected topologies that are maximal. In particular, we prove that a maximal soft compact topology has identical families of soft compact and soft closed sets, and it is also soft $T_1$.
