On minimal sets and strictly weaker topologies
In [1,2] Farrag characterized the stirictly weaker principal topologies than any given principal topology on a nonempty set by using the minimal open sets which are defined by Steiner [3]. This paper mainly generalizes this result by using the minimal sets, which are defined in the paper with respec...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2011-10-01
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| Series: | Journal of the Egyptian Mathematical Society |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X11000204 |
| _version_ | 1818338278999326720 |
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| author | A.S. Farrag M.Y. Bakier |
| author_facet | A.S. Farrag M.Y. Bakier |
| author_sort | A.S. Farrag |
| collection | DOAJ |
| description | In [1,2] Farrag characterized the stirictly weaker principal topologies than any given principal topology on a nonempty set by using the minimal open sets which are defined by Steiner [3]. This paper mainly generalizes this result by using the minimal sets, which are defined in the paper with respect to the given topology τ on a nonempty set. |
| first_indexed | 2024-12-13T15:08:35Z |
| format | Article |
| id | doaj.art-e1916632b36c4c19832dd9ca6e1e9c61 |
| institution | Directory Open Access Journal |
| issn | 1110-256X |
| language | English |
| last_indexed | 2024-12-13T15:08:35Z |
| publishDate | 2011-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of the Egyptian Mathematical Society |
| spelling | doaj.art-e1916632b36c4c19832dd9ca6e1e9c612022-12-21T23:40:56ZengSpringerOpenJournal of the Egyptian Mathematical Society1110-256X2011-10-0119311211710.1016/j.joems.2011.10.004On minimal sets and strictly weaker topologiesA.S. Farrag0M.Y. Bakier1Department of Mathematics, Faculty of Science, Sohag University, Sohag, EgyptDepartment of Mathematics, Faculty of Science, Assuit University, Assuit, EgyptIn [1,2] Farrag characterized the stirictly weaker principal topologies than any given principal topology on a nonempty set by using the minimal open sets which are defined by Steiner [3]. This paper mainly generalizes this result by using the minimal sets, which are defined in the paper with respect to the given topology τ on a nonempty set.http://www.sciencedirect.com/science/article/pii/S1110256X11000204UltratopologiesPrincipal and nonprincipal topologiesMinimal open setsT0T1Regular topologies |
| spellingShingle | A.S. Farrag M.Y. Bakier On minimal sets and strictly weaker topologies Journal of the Egyptian Mathematical Society Ultratopologies Principal and nonprincipal topologies Minimal open sets T0 T1 Regular topologies |
| title | On minimal sets and strictly weaker topologies |
| title_full | On minimal sets and strictly weaker topologies |
| title_fullStr | On minimal sets and strictly weaker topologies |
| title_full_unstemmed | On minimal sets and strictly weaker topologies |
| title_short | On minimal sets and strictly weaker topologies |
| title_sort | on minimal sets and strictly weaker topologies |
| topic | Ultratopologies Principal and nonprincipal topologies Minimal open sets T0 T1 Regular topologies |
| url | http://www.sciencedirect.com/science/article/pii/S1110256X11000204 |
| work_keys_str_mv | AT asfarrag onminimalsetsandstrictlyweakertopologies AT mybakier onminimalsetsandstrictlyweakertopologies |