Epi-mild normality
A space (X, τ) is called epi-mildly normal if there exists a coarser topology τ′ on X such that (X, τ′) is Hausdorff (T2) mildly normal. We investigate this property and present some examples to illustrate the relationships between epi-mild normality and other weaker kinds of normality.
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| Format: | Article |
| Language: | English |
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De Gruyter
2018-10-01
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| Series: | Open Mathematics |
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| Online Access: | https://doi.org/10.1515/math-2018-0099 |
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Article |
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doaj-119b6dd83bc748df96a2a511b18660092021-09-06T19:20:10ZengDe GruyterOpen Mathematics2391-54552018-10-011611170117510.1515/math-2018-0099math-2018-0099Epi-mild normalityKalantan Lutfi0Alshammari Ibtesam1Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi ArabiaA space (X, τ) is called epi-mildly normal if there exists a coarser topology τ′ on X such that (X, τ′) is Hausdorff (T2) mildly normal. We investigate this property and present some examples to illustrate the relationships between epi-mild normality and other weaker kinds of normality.https://doi.org/10.1515/math-2018-0099normalclosed domainmildly normalepi-mildly normalsubmetrizable54a1054d15 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Kalantan Lutfi Alshammari Ibtesam |
| spellingShingle |
Kalantan Lutfi Alshammari Ibtesam Epi-mild normality Open Mathematics normal closed domain mildly normal epi-mildly normal submetrizable 54a10 54d15 |
| author_facet |
Kalantan Lutfi Alshammari Ibtesam |
| author_sort |
Kalantan Lutfi |
| title |
Epi-mild normality |
| title_short |
Epi-mild normality |
| title_full |
Epi-mild normality |
| title_fullStr |
Epi-mild normality |
| title_full_unstemmed |
Epi-mild normality |
| title_sort |
epi-mild normality |
| publisher |
De Gruyter |
| series |
Open Mathematics |
| issn |
2391-5455 |
| publishDate |
2018-10-01 |
| description |
A space (X, τ) is called epi-mildly normal if there exists a coarser topology τ′ on X such that (X, τ′) is Hausdorff (T2) mildly normal. We investigate this property and present some examples to illustrate the relationships between epi-mild normality and other weaker kinds of normality. |
| topic |
normal closed domain mildly normal epi-mildly normal submetrizable 54a10 54d15 |
| url |
https://doi.org/10.1515/math-2018-0099 |
| work_keys_str_mv |
AT kalantanlutfi epimildnormality AT alshammariibtesam epimildnormality |
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1717777137998495744 |