Epi-α-Normality and Epi-β-Normality
A topological space Y,τ is called epi-α-normal (epi-β-normal) if there is a coarser topology τ′ on Y such that Y,τ′ is T1 α-normal (T1 β-normal). We investigate these properties and show some examples to explain the relationships of epi-α-normal (epi-β-normal) with other weaker versions of normality...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/9311004 |
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| _version_ | 1832546064832397312 |
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| author | Nadia Gheith Samirah ALZahrani |
| author_facet | Nadia Gheith Samirah ALZahrani |
| author_sort | Nadia Gheith |
| collection | DOAJ |
| description | A topological space Y,τ is called epi-α-normal (epi-β-normal) if there is a coarser topology τ′ on Y such that Y,τ′ is T1 α-normal (T1 β-normal). We investigate these properties and show some examples to explain the relationships of epi-α-normal (epi-β-normal) with other weaker versions of normality and some topological spaces. |
| format | Article |
| id | doaj-art-67f16a45fef647d89670de46174e0018 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-67f16a45fef647d89670de46174e00182025-02-03T07:23:54ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/93110049311004Epi-α-Normality and Epi-β-NormalityNadia Gheith0Samirah ALZahrani1Department of Mathematics, Gharian University, Gharian 64418, LibyaDepartment of Mathematics, College of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi ArabiaA topological space Y,τ is called epi-α-normal (epi-β-normal) if there is a coarser topology τ′ on Y such that Y,τ′ is T1 α-normal (T1 β-normal). We investigate these properties and show some examples to explain the relationships of epi-α-normal (epi-β-normal) with other weaker versions of normality and some topological spaces.http://dx.doi.org/10.1155/2021/9311004 |
| spellingShingle | Nadia Gheith Samirah ALZahrani Epi-α-Normality and Epi-β-Normality Journal of Mathematics |
| title | Epi-α-Normality and Epi-β-Normality |
| title_full | Epi-α-Normality and Epi-β-Normality |
| title_fullStr | Epi-α-Normality and Epi-β-Normality |
| title_full_unstemmed | Epi-α-Normality and Epi-β-Normality |
| title_short | Epi-α-Normality and Epi-β-Normality |
| title_sort | epi α normality and epi β normality |
| url | http://dx.doi.org/10.1155/2021/9311004 |
| work_keys_str_mv | AT nadiagheith epianormalityandepibnormality AT samirahalzahrani epianormalityandepibnormality |