On ƞǤ_Ş-Compactness

Open sets may be viewed as an extension of semi-open sets by applying the notions of semi-open sets and grill nano to nGs-open sets, with the following four goals in mind: The objective is to characterize nGs-open sets by examining and proving numerous of its attributes and comments. And investigat...

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Main Authors: Ahmed Sh. Mohamed, R.B. Esmaeel
Format: Article
Language:English
Published: University of Baghdad 2025-01-01
Series:Ibn Al-Haitham Journal for Pure and Applied Sciences
Subjects:
Online Access:https://jih.uobaghdad.edu.iq/index.php/j/article/view/3322
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author Ahmed Sh. Mohamed
R.B. Esmaeel
author_facet Ahmed Sh. Mohamed
R.B. Esmaeel
author_sort Ahmed Sh. Mohamed
collection DOAJ
description Open sets may be viewed as an extension of semi-open sets by applying the notions of semi-open sets and grill nano to nGs-open sets, with the following four goals in mind: The objective is to characterize nGs-open sets by examining and proving numerous of its attributes and comments. And investigate and define new kinds of functions based on the concept of nGs-open sets, using sets of nGs-open sets, we will define a new  type of Compact type and call it nGs-open compact then we will find the relationship between these new types of Compact type with nano compact. We will also talk about the relationship between nano grill semi-open sets and continuous functions and the relationship between nano grill semi-open sets and irresolute function as well we give some examples, proofs and observations about the relationship between nano grill semi-open sets and functions and their relation to nano compact.
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institution Kabale University
issn 1609-4042
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publishDate 2025-01-01
publisher University of Baghdad
record_format Article
series Ibn Al-Haitham Journal for Pure and Applied Sciences
spelling doaj-art-f853c8a3f8e542dbbe2a8361da97bc6b2025-01-22T01:21:10ZengUniversity of BaghdadIbn Al-Haitham Journal for Pure and Applied Sciences1609-40422521-34072025-01-0138110.30526/38.1.3322On ƞǤ_Ş-CompactnessAhmed Sh. Mohamed 0R.B. Esmaeel1https://orcid.org/0000-0002-4743-6034Department of Mathematics, College of Education for PurHaitham, University of Baghdad, Iraq. Department of Mathematics, College of Education for Pure Science (Ibn Al Haitham), University of Baghdad, Baghdad, Iraq. Open sets may be viewed as an extension of semi-open sets by applying the notions of semi-open sets and grill nano to nGs-open sets, with the following four goals in mind: The objective is to characterize nGs-open sets by examining and proving numerous of its attributes and comments. And investigate and define new kinds of functions based on the concept of nGs-open sets, using sets of nGs-open sets, we will define a new  type of Compact type and call it nGs-open compact then we will find the relationship between these new types of Compact type with nano compact. We will also talk about the relationship between nano grill semi-open sets and continuous functions and the relationship between nano grill semi-open sets and irresolute function as well we give some examples, proofs and observations about the relationship between nano grill semi-open sets and functions and their relation to nano compact. https://jih.uobaghdad.edu.iq/index.php/j/article/view/3322Nano Grill semi-open compact spaceƞǤ_Ş Ỏ-semi-open compactnano compact
spellingShingle Ahmed Sh. Mohamed
R.B. Esmaeel
On ƞǤ_Ş-Compactness
Ibn Al-Haitham Journal for Pure and Applied Sciences
Nano Grill semi-open compact space
ƞǤ_Ş Ỏ-semi-open compact
nano compact
title On ƞǤ_Ş-Compactness
title_full On ƞǤ_Ş-Compactness
title_fullStr On ƞǤ_Ş-Compactness
title_full_unstemmed On ƞǤ_Ş-Compactness
title_short On ƞǤ_Ş-Compactness
title_sort on ng s compactness
topic Nano Grill semi-open compact space
ƞǤ_Ş Ỏ-semi-open compact
nano compact
url https://jih.uobaghdad.edu.iq/index.php/j/article/view/3322
work_keys_str_mv AT ahmedshmohamed onƞǥscompactness
AT rbesmaeel onƞǥscompactness