On some generated soft topological spaces and soft homogeneity
We introduce soft homogeneity as an extension of homogeneity in ordinary topological spaces. Based on the generated soft topology of a given indexed family of classical topologies inspite of a one topology given by Terepeta in [16], we investigate soft minimal open set and homogeneity relation betwe...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2019-07-01
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| Series: | Heliyon |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844019357214 |
| _version_ | 1819014341357207552 |
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| author | Samer Al Ghour Awatef Bin-Saadon |
| author_facet | Samer Al Ghour Awatef Bin-Saadon |
| author_sort | Samer Al Ghour |
| collection | DOAJ |
| description | We introduce soft homogeneity as an extension of homogeneity in ordinary topological spaces. Based on the generated soft topology of a given indexed family of classical topologies inspite of a one topology given by Terepeta in [16], we investigate soft minimal open set and homogeneity relation between the generated soft topology and the given indexed family of topologies. We introduce several results, examples and counterexamples. |
| first_indexed | 2024-12-21T02:14:18Z |
| format | Article |
| id | doaj.art-771d15f1e98144e8b91b8b608ddac9e4 |
| institution | Directory Open Access Journal |
| issn | 2405-8440 |
| language | English |
| last_indexed | 2024-12-21T02:14:18Z |
| publishDate | 2019-07-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj.art-771d15f1e98144e8b91b8b608ddac9e42022-12-21T19:19:18ZengElsevierHeliyon2405-84402019-07-0157e02061On some generated soft topological spaces and soft homogeneitySamer Al Ghour0Awatef Bin-Saadon1Corresponding author.; Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, JordanDepartment of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, JordanWe introduce soft homogeneity as an extension of homogeneity in ordinary topological spaces. Based on the generated soft topology of a given indexed family of classical topologies inspite of a one topology given by Terepeta in [16], we investigate soft minimal open set and homogeneity relation between the generated soft topology and the given indexed family of topologies. We introduce several results, examples and counterexamples.http://www.sciencedirect.com/science/article/pii/S2405844019357214MathematicsMinimal soft open setsHomogeneousGenerated soft topology |
| spellingShingle | Samer Al Ghour Awatef Bin-Saadon On some generated soft topological spaces and soft homogeneity Heliyon Mathematics Minimal soft open sets Homogeneous Generated soft topology |
| title | On some generated soft topological spaces and soft homogeneity |
| title_full | On some generated soft topological spaces and soft homogeneity |
| title_fullStr | On some generated soft topological spaces and soft homogeneity |
| title_full_unstemmed | On some generated soft topological spaces and soft homogeneity |
| title_short | On some generated soft topological spaces and soft homogeneity |
| title_sort | on some generated soft topological spaces and soft homogeneity |
| topic | Mathematics Minimal soft open sets Homogeneous Generated soft topology |
| url | http://www.sciencedirect.com/science/article/pii/S2405844019357214 |
| work_keys_str_mv | AT sameralghour onsomegeneratedsofttopologicalspacesandsofthomogeneity AT awatefbinsaadon onsomegeneratedsofttopologicalspacesandsofthomogeneity |