Preferred Language
Articles
/
jih-684
L- pre-open and L-semi-p-open Sets
...Show More Authors

   The purpose of this paper is to study   new  types of open sets in bitopological spaces.    We shall introduce the concepts of  L- pre-open and L-semi-p-open sets

View Publication Preview PDF
Quick Preview PDF
Publication Date
Sat Apr 30 2022
Journal Name
Iraqi Journal Of Science
Maximal and Minimal Regular β -Open Sets in Topological Spaces
...Show More Authors

    In this paper, new concepts of maximal and minimal regular s are introduced and discussed. Some basic properties are obtained. The relation between maximal and minimal regular s and some other types of open sets such as regular open sets and   -open sets are investigated.

View Publication Preview PDF
Scopus Crossref
Publication Date
Sat Apr 04 2020
Journal Name
Journal Of Xi'an University Of Architecture & Technology
Regularity via semi-generalized open set
...Show More Authors

In this work the concept of semi-generalized regular topological space was introduced and studied via semi generalized open sets. Many properties and results was investigated and studied, also it was shown that the quotient space of semi-generalized regular topological space is not, in general semi-generalizedspace.

Publication Date
Thu Apr 20 2023
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Nano SC-Open Sets in Nano Topological Spaces
...Show More Authors

The objective of this paper is to define and introduce a new type of nano semi-open set which called nano -open set as a strong form of nano semi-open set which is related to nano closed sets in nano topological spaces. In this paper, we find all forms of the family of nano -open sets in term of upper and lower approximations of sets and we can easily find nano -open sets and they are a gate to more study.  Several types of nano open sets are known, so we study relationship between the nano -open sets with the other known types of nano open sets in nano topological spaces. The Operators such as nano -interior and nano -closure are the part of this paper.

View Publication Preview PDF
Crossref
Publication Date
Tue Aug 31 2021
Journal Name
Iraqi Journal Of Science
Separation Axioms in Topological Ordered Spaces Via b-open Sets
...Show More Authors

     This paper aims to define and study new separation axioms based on the b-open sets in topological ordered spaces, namely strong - -ordered spaces ( ). These new separation axioms are lying between strong -ordered spaces and - - spaces ( ). The implications of these new separation axioms among themselves and other existing types are studied, giving several examples and counterexamples. Also, several properties of these spaces are investigated; for example, we show that the property of strong - -ordered spaces ( ) is an inherited property under open subspaces.

View Publication Preview PDF
Scopus (1)
Scopus Crossref
Publication Date
Sun May 17 2020
Journal Name
Iraqi Journal Of Science
On Soft bc-Open Sets in Soft Topological Spaces
...Show More Authors

In this paper, we offer and study a novel type generalized soft-open sets in topological spaces, named soft Æ„c-open sets. Relationships of this set with other types of generalized soft-open sets are discussed, definitions of soft Æ„ , soft bc- closure and soft bc- interior are introduced, and its properties are investigated. Also, we introduce and explore several characterizations and properties of this type of sets.

View Publication Preview PDF
Scopus (8)
Scopus Crossref
Publication Date
Thu Nov 30 2023
Journal Name
Iraqi Journal Of Science
Role Of ψ-Operator in the Study of Minimal Open Sets
...Show More Authors

     The operator ψ has been introduced as an associated set-valued set function. Although it has importance for the study of minimal open sets as well as minimal I-open sets. As a result of this study, we introduce minimal I^*-open sets . In this study, several characterizations of minimal I^*-open sets are also investigated. This study also discusses the role of minimal  I^*-open sets in the *-locally finite spaces. In an aspect of topological invariant, the homeomorphic images of minimal I^*-open set has been discussed here.

View Publication Preview PDF
Crossref
Publication Date
Sun Jul 31 2022
Journal Name
Iraqi Journal Of Science
On Еc-Continuous and δ-ßc-Continuous Mappings in Topological Spaces Via Еc-open and δ-ßc-open sets
...Show More Authors

In the present paper, new concepts of generalized continuous mappings, namely Еc and δ-ßc-continuous mappings have been introduced and studied by using a new generalized of open sets Еc and δ-ßc-open sets ,respectively. Several characterizations and fundamental properties of these forms of generalized continuous mappings are obtained. Moreover, the graphs of Еc-continuous and δ-ßc-continuous mappings have been investigated. In addition, the relationships among Еc-continuous and δ-ßc-continuous mappings and other well-known forms of g

... Show More
View Publication Preview PDF
Scopus (3)
Scopus Crossref
Publication Date
Wed Mar 28 2018
Journal Name
Iraqi Journal Of Science
Weak Forms of Soft (1, 2)*-Omega Open Sets in Soft Bitopological Spaces
...Show More Authors

 In this paper, we introduce  and  study  new  classes of soft  open  sets  in soft bitopological spaces called soft  (1,2)*-omega  open  sets  and  weak forms of soft (1,2)*-omega open sets such as soft  (1,2)*-α-ω-open sets, soft  (1,2)*-pre-ω-opensets, soft  (1,2)*-b-ω-open sets,  and  soft  (1,2)*-β-ω-open  sets. Moreover; some basic properties and the relation among these concepts and other concepts also have been studied.

View Publication Preview PDF
Publication Date
Sun Jan 26 2020
Journal Name
Iraqi Journal Of Science
sp[γ,γ^(* ) ]-open sets and sp[γ,γ^(* ) ]-compact spaces
...Show More Authors

     In this work, we present the notion of sp[γ,γ^(* ) ]-open set,  sp[γ,γ^(* ) ]-closed, and sp[γ,γ^(* ) ]-closure such that several properties are obtained. By using this concept, we define a new type of spaces named sp[γ,γ^(* ) ]-compact space.

View Publication Preview PDF
Scopus (2)
Crossref (1)
Scopus Crossref
Publication Date
Sun Dec 05 2010
Journal Name
Baghdad Science Journal
On Semi-p-Compact Space1
...Show More Authors

The purpose of this paper is to introduce a new type of compact spaces, namely semi-p-compact spaces which are stronger than compact spaces; we give properties and characterizations of semi-p-compact spaces.

View Publication Preview PDF
Crossref