ic-Separation Axioms in Topological Spaces
A new class of separation axioms known as ic-separation axioms is introduced in this study. They rely on new extended open sets known as ic-open sets, and we describe the relationship between them and give several examples. Additionally, we define ic-generalized closed set concepts in a topologica...
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| Format: | Article |
| Language: | English |
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College of science, university of Diyala
2023-01-01
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| Series: | Academic Science Journal |
| Online Access: | https://acadscij.uodiyala.edu.iq/index.php/Home/article/view/56 |
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| author | Beyda S. Abdullah Ruqayah N. Balo Sabih W. Askandar |
| author_facet | Beyda S. Abdullah Ruqayah N. Balo Sabih W. Askandar |
| author_sort | Beyda S. Abdullah |
| collection | DOAJ |
| description |
A new class of separation axioms known as ic-separation axioms is introduced in this study. They rely on new extended open sets known as ic-open sets, and we describe the relationship between them and give several examples. Additionally, we define ic-generalized closed set concepts in a topological space in order to frame the another class of separation axioms called ic-generalized axioms. Among other things, the basic concern properties and relative preservation properties of these spaces are projected under ic-generalized irresolute mappings.
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| format | Article |
| id | doaj-art-39ad28ec46b14377bcfcce67f79c2ab6 |
| institution | Kabale University |
| issn | 2958-4612 2959-5568 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | College of science, university of Diyala |
| record_format | Article |
| series | Academic Science Journal |
| spelling | doaj-art-39ad28ec46b14377bcfcce67f79c2ab62024-11-19T10:02:41ZengCollege of science, university of DiyalaAcademic Science Journal2958-46122959-55682023-01-011110.24237/ASJ.01.01.673Cic-Separation Axioms in Topological SpacesBeyda S. AbdullahRuqayah N. Balo Sabih W. Askandar A new class of separation axioms known as ic-separation axioms is introduced in this study. They rely on new extended open sets known as ic-open sets, and we describe the relationship between them and give several examples. Additionally, we define ic-generalized closed set concepts in a topological space in order to frame the another class of separation axioms called ic-generalized axioms. Among other things, the basic concern properties and relative preservation properties of these spaces are projected under ic-generalized irresolute mappings. https://acadscij.uodiyala.edu.iq/index.php/Home/article/view/56 |
| spellingShingle | Beyda S. Abdullah Ruqayah N. Balo Sabih W. Askandar ic-Separation Axioms in Topological Spaces Academic Science Journal |
| title | ic-Separation Axioms in Topological Spaces |
| title_full | ic-Separation Axioms in Topological Spaces |
| title_fullStr | ic-Separation Axioms in Topological Spaces |
| title_full_unstemmed | ic-Separation Axioms in Topological Spaces |
| title_short | ic-Separation Axioms in Topological Spaces |
| title_sort | ic separation axioms in topological spaces |
| url | https://acadscij.uodiyala.edu.iq/index.php/Home/article/view/56 |
| work_keys_str_mv | AT beydasabdullah icseparationaxiomsintopologicalspaces AT ruqayahnbalo icseparationaxiomsintopologicalspaces AT sabihwaskandar icseparationaxiomsintopologicalspaces |