On some topological properties in the class of Alexandroff spaces

被引：2
|
作者：
LAZAAR, Sami [1 ]
SABRI, Houssem [2 ]
TAHRI, Randa [2 ]
机构：
[1] Taibah Univ, Fac Sci Madina, Dept Math, Madina, Saudi Arabia
[2] Univ Tunis El Manar, Fac Sci Tunis, Dept Math, Tunis, Tunisia
来源：
TURKISH JOURNAL OF MATHEMATICS | 2021年 / 45卷 / 01期
关键词：
Alexandroff space; submaximal space; door space; Whyburn space;
D O I：
10.3906/mat-2010-90
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the class of Alexandroff spaces we study the properties of being a submaximal, door, Whyburn and weakly Whyburn space. We provide characterizations in order theoretical terms. Connections with posets, counting formulas and numerical results in the class of finite spaces are also given.
引用
收藏
页码：479 / 486
页数：8
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