Soft version of compact and Lindelof spaces using soft somewhere dense sets

被引：21

作者：

Al-shami, Tareq M. ^{[1
]}

Mhemdi, Abdelwaheb ^{[2
]}

Rawshdeh, Amani A. ^{[3
]}

Al-jarrah, Heyam H. ^{[4
]}

机构：

[1] Sanaa Univ, Dept Math, Sanaa, Yemen

[2] Prince Sattam bin Abdulaziz Univ, Coll Sci & Human Aflaj, Dept Math, Riyadh, Saudi Arabia

[3] Al Balqa Appl Univ, Fac Sci, Dept Math, Alsalt, Jordan

[4] Yarmouk Univ, Fac Sci, Dept Math, Irbid, Jordan

来源：

AIMS MATHEMATICS | 2021年 / 6卷 / 08期

关键词：

soft somewhere dense set; soft cs-dense set; almost soft SD-compact; almost soft SD-Lindelof; nearly soft SD-compact; nearly soft SD-Lindelof; mildly soft SD-compact; mildly soft S D-Lindelof;

D O I：

10.3934/math.2021468

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Herein, we applied soft somewhere dense sets to initiate six sorts of soft spaces called almost (nearly, mildly) soft S D-compact and almost (nearly, mildly) soft S D-Lindel <spacing diaeresis>of spaces. We study the master properties of these spaces and illustrate the relations between them with the help of examples. In addition, we clarify that the six soft spaces are equivalent under a soft S D-partition. Moreover, the relationships between the initiated spaces and enriched soft topological spaces and other well-known spaces such as soft S -connected are indicated.

引用

页码：8064 / 8077

页数：14

共 30 条

[1] Compactness on Soft Topological Ordered Spaces and Its Application on the Information System [J].