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369180

Some Issues On Topological Operators Via Ideals

Article

Last updated: 29 Dec 2024

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Subjects

-

Tags

Engineering Physics and Mathematics

Abstract

In a topological structure (X1,τ) any ideal I of a subset of X induces a new topology τ1 (I). If Y is a regular structure, then under some assumptions on I, for any upper τ∗- quasi continuous multivalued map F : X1 → P(Y )\∅ ,the sets of all points at which F is lower quasi- continuous (lower semi-continuous with respect to τ∗ or τ coincides). If F is compact- valued lower τ∗ - quasi continuous, then the symmetrical result holds (J.Ewert [8]). The paper concerns operators in ideal topological structures. Some properties and characterizations of the set operator ( )∗s are investigated and explored. We define, explore, and analyze nano semi- local function as well as some of its characteristics. Finally, we design a graph of vital places in our city with regard to ideals. 

DOI

10.21608/jctae.2024.288554.1026

Keywords

Local functions, ideal, nano semi Local functions

Authors

First Name

Roshdey

Last Name

Roshdey

MiddleName

-

Affiliation

Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt,

Email

roshdeymareay@sci.kfs.edu.eg

City

-

Orcid

-

First Name

Arafa

Last Name

Nasef

MiddleName

-

Affiliation

Department of Physics and Engineering Mathematics, Faculty of Engineering, Kafrelsheikh University, Kafrelsheikh 33516, Egypt;

Email

arafa.nasif@eng.kfs.edu.eg

City

-

Orcid

-

First Name

Nagwa

Last Name

Youns

MiddleName

-

Affiliation

Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt,

Email

nagwayouns@sci.kfs.edu.eg

City

Kafrelsheikh

Orcid

-

First Name

Mohamed

Last Name

Badr

MiddleName

-

Affiliation

Department of Mathematics, Faculty of Science, new Valley University, Egypt.

Email

m.shaban@sci.nvu.edu.eg

City

-

Orcid

-

Volume

3

Article Issue

1

Related Issue

49389

Issue Date

2024-06-01

Receive Date

2024-05-12

Publish Date

2024-07-25

Page Start

25

Page End

31

Print ISSN

2812-5797

Online ISSN

2812-5800

Article File

JCTAE_Volume 3_Issue 1_Pages 25-31.pdf

PDF . 948.3kB

Link

https://jctae.journals.ekb.eg/article_369180.html

Detail API

https://jctae.journals.ekb.eg/service?article_code=369180

Order

369,180

Type

Original Article

Type Code

2,367

Publication Type

Journal

Publication Title

Journal of Contemporary Technology and Applied Engineering

Publication Link

https://jctae.journals.ekb.eg/

MainTitle

Some Issues On Topological Operators Via Ideals

Details

Type

Article

Created At

29 Dec 2024