Structural and Numerical Studies of Some Topological Properties for Alexandroff Spaces

被引：2

作者：

Lazaar, Sami ^{[1
]}

Sabri, Houssem ^{[2
]}

Tahri, Randa ^{[2
]}

机构：

[1] Univ Taibah, Fac Sci, Medina, Saudi Arabia

[2] Tunis El Manar Univ, Dept Math, Fac Sci Tunis, Tunis, Tunisia

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2022年 / 48卷 / 04期

关键词：

Alexandroff space; Submaximal space; Door space; Whyburn space;

D O I：

10.1007/s41980-021-00599-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Since half a century, formulas for the enumeration of many classes of finite topological spaces have been found, though counting all topologies on an n-set remains a challenging open problem. In our paper, we give order-theoretical descriptions of specific classes of Alexandroff spaces such us submaximal, door, Whyburn and weakly Whyburn spaces. Connections with posets, counting formulas and numerical results in the class of finite spaces are also given.

引用

页码：1575 / 1581

页数：7

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