Soft separation axioms via soft topological operators

Tareq M. Al-Shami; Zanyar A. Ameen; A. A. Azzam; Mohammed E. El-Shafei

doi:10.3934/math.2022828

Soft separation axioms via soft topological operators

Tareq M. Al-Shami
, Zanyar A. Ameen
, A. A. Azzam
, Mohammed E. El-Shafei

Mathematics

Research output: Contribution to journal › Article › peer-review

34 Scopus citations

Abstract

This paper begins with an introduction to some soft topological operators that will be used to characterize several soft separation axioms followed by their main properties. Then, we define a new soft separation axiom called “soft T_D-space” and analyze its main properties. We also show that this space precisely lies between soft T₀ and soft T₁-spaces. Finally, we characterize soft T_i-spaces, for i = 0, 1, D, in terms of the stated operators.

Original language	English
Pages (from-to)	15107-15119
Number of pages	13
Journal	AIMS Mathematics
Volume	7
Issue number	8
DOIs	https://doi.org/10.3934/math.2022828
State	Published - 2022

Keywords

soft derived set
soft kernel
soft operator
soft shell
soft T-space
soft T-space
soft T-space
soft topology

Access to Document

10.3934/math.2022828

Cite this

@article{74fec002a34a42d5b905e6386be4dd3a,

title = "Soft separation axioms via soft topological operators",

abstract = "This paper begins with an introduction to some soft topological operators that will be used to characterize several soft separation axioms followed by their main properties. Then, we define a new soft separation axiom called “soft TD-space” and analyze its main properties. We also show that this space precisely lies between soft T0 and soft T1-spaces. Finally, we characterize soft Ti-spaces, for i = 0, 1, D, in terms of the stated operators.",

keywords = "soft derived set, soft kernel, soft operator, soft shell, soft T-space, soft T-space, soft T-space, soft topology",

author = "Al-Shami, \{Tareq M.\} and Ameen, \{Zanyar A.\} and Azzam, \{A. A.\} and El-Shafei, \{Mohammed E.\}",

note = "Publisher Copyright: {\textcopyright} 2022 the Author(s), licensee AIMS Press.",

year = "2022",

doi = "10.3934/math.2022828",

language = "English",

volume = "7",

pages = "15107--15119",

journal = "AIMS Mathematics",

issn = "2473-6988",

publisher = "American Institute of Mathematical Sciences",

number = "8",

}

TY - JOUR

T1 - Soft separation axioms via soft topological operators

AU - Al-Shami, Tareq M.

AU - Ameen, Zanyar A.

AU - Azzam, A. A.

AU - El-Shafei, Mohammed E.

PY - 2022

Y1 - 2022

N2 - This paper begins with an introduction to some soft topological operators that will be used to characterize several soft separation axioms followed by their main properties. Then, we define a new soft separation axiom called “soft TD-space” and analyze its main properties. We also show that this space precisely lies between soft T0 and soft T1-spaces. Finally, we characterize soft Ti-spaces, for i = 0, 1, D, in terms of the stated operators.

AB - This paper begins with an introduction to some soft topological operators that will be used to characterize several soft separation axioms followed by their main properties. Then, we define a new soft separation axiom called “soft TD-space” and analyze its main properties. We also show that this space precisely lies between soft T0 and soft T1-spaces. Finally, we characterize soft Ti-spaces, for i = 0, 1, D, in terms of the stated operators.

KW - soft derived set

KW - soft kernel

KW - soft operator

KW - soft shell

KW - soft T-space

KW - soft topology

UR - https://www.scopus.com/pages/publications/85131786133

U2 - 10.3934/math.2022828

DO - 10.3934/math.2022828

M3 - Article

AN - SCOPUS:85131786133

SN - 2473-6988

VL - 7

SP - 15107

EP - 15119

JO - AIMS Mathematics

JF - AIMS Mathematics

IS - 8

ER -

Soft separation axioms via soft topological operators

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this