2020
DOI: 10.2298/fil2010429a
|View full text |Cite
|
Sign up to set email alerts
|

Soft maps via soft somewhere dense sets

Abstract: The concept of soft sets was proposed as an effective tool to deal with uncertainty and vagueness. Topologists employed this concept to define and study soft topological spaces. In this paper, we introduce the concepts of soft SD-continuous, soft SD-open, soft SD-closed and soft SD-homeomorphism maps by using soft somewhere dense and soft cs-dense sets. We characterize them and discuss their main properties with the help of examples. In particular, we investigate under what conditions the res… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
5

Citation Types

0
24
0

Year Published

2021
2021
2023
2023

Publication Types

Select...
8
1

Relationship

0
9

Authors

Journals

citations
Cited by 37 publications
(24 citation statements)
references
References 20 publications
0
24
0
Order By: Relevance
“…Many scholars analyzed the properties of soft topologies and compared their performance with the case of classical topologies, see, for example, [13][14][15][16][17][18][19][20][21][22][23]. Generalizations of open sets were investigated in soft topologies, see [24,25]. In [26], we corrected some alleged results concerning soft separation axioms, especially those defined using soft points.…”
Section: Introductionmentioning
confidence: 99%
“…Many scholars analyzed the properties of soft topologies and compared their performance with the case of classical topologies, see, for example, [13][14][15][16][17][18][19][20][21][22][23]. Generalizations of open sets were investigated in soft topologies, see [24,25]. In [26], we corrected some alleged results concerning soft separation axioms, especially those defined using soft points.…”
Section: Introductionmentioning
confidence: 99%
“…The family of all soft closed sets in (X, τ, A) will be denoted by τ c . Soft topological concepts and their applications are still a hot area of research ( [1,2,[5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]). The notion of ω-regular TSs was introduced in [23], then the study of ω-regular TSs continued in [24] in which the authors defined and investigated ω-T 2 TSs.…”
Section: Introductionmentioning
confidence: 99%
“…Shabir and Naz [45] initiated the idea of soft topological spaces and studied soft separation axioms. Later on, many researchers carried out several studies to discuss the topological notions on soft topologies (see, for example [2,3,7,11,15,20,22,29,30,31,36,44]). Chen [24] and Mahanta and Das [37] displayed and probed the notions of soft semi open sets and soft semi separation axioms.…”
Section: Introductionmentioning
confidence: 99%