Sum of Soft Topological Spaces

被引：53

作者：

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

Kocinac, Ljubisa D. R. ^{[2
]}

Asaad, Baravan A. ^{[3
,4
]}

机构：

[1] Sanaa Univ, Dept Math, POBox 1247, Sanaa, Yemen

[2] Univ Nis, Fac Sci & Math, Nish 18000, Serbia

[3] Cihan Univ Duhok, Coll Sci, Dept Comp Sci, Duhok 42001, Iraq

[4] Univ Zakho, Fac Sci, Dept Math, Zakho 42002, Iraq

来源：

MATHEMATICS | 2020年 / 8卷 / 06期

关键词：

sum of soft topological spaces; additive property; p-soft T-i; soft compactness; soft paracompactness; soft extremally disconnectedness; soft separable; soft continuity; SEPARATION AXIOMS; SETS; COMPACT; SEMIOPEN;

D O I：

10.3390/math8060990

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce the concept of sum of soft topological spaces using pairwise disjoint soft topological spaces and study its basic properties. Then, we define additive and finitely additive properties which are considered a link between soft topological spaces and their sum. In this regard, we show that the properties of being p-softTi, soft paracompactness, soft extremally disconnectedness, and soft continuity are additive. We provide some examples to elucidate that soft compactness and soft separability are finitely additive; however, soft hyperconnected, soft indiscrete, and door soft spaces are not finitely additive. In addition, we prove that soft interior, soft closure, soft limit, and soft boundary points are interchangeable between soft topological spaces and their sum. This helps to obtain some results related to some important generalized soft open sets. Finally, we observe under which conditions a soft topological space represents the sum of some soft topological spaces.

引用

页数：12

共 34 条

[1] Soft b-open sets and soft b-continuous functions [J].