| dc.creator | Al Ghour, Samer | |
| dc.creator | El-Issa, Salma | |
| dc.date | 2019-12-15 | |
| dc.date.accessioned | 2020-01-06T17:47:53Z | |
| dc.date.available | 2020-01-06T17:47:53Z | |
| dc.identifier | https://www.revistaproyecciones.cl/article/view/3903 | |
| dc.identifier | 10.22199/issn.0717-6279-2019-05-0059 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/122176 | |
| dc.description | We use the theta omega closure operator to define theta omega connectedness as a property which is weaker than connectedness and stronger than θ-connectedness. We give several sufficient conditions for the equivalence between θω-connectedness and connectedness, and between θω-connectedness and θ-connectedness. We give two results regarding the union of θω-connected sets and also we show that the weakly θω-continuous image of a connected set is θω-connected. We define and investigate V -θω-connectedness as a strong form of V - θ-connectedness, and we show that the θω-connectedness and V -θω-connectedness are independent. We continue the study of R1 as a known topological property by giving several results regarding it. We introduce ω-R1 (I), ω-R1 (II), ω-R1 (III) and weakly ω-R1 as four weaker forms of R1 by utilizing ω-open sets, we give several relationships regarding them and we raise two open questions. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad Católica del Norte. | es-ES |
| dc.relation | https://www.revistaproyecciones.cl/article/view/3903/3301 | |
| dc.rights | Derechos de autor 2019 Samer Al Ghour, Salma El-Issa | es-ES |
| dc.rights | http://creativecommons.org/licenses/by/4.0 | es-ES |
| dc.source | Proyecciones. Journal of Mathematics; Vol 38 No 5 (2019); 921-942 | en-US |
| dc.source | Proyecciones. Revista de Matemática; Vol. 38 Núm. 5 (2019); 921-942 | es-ES |
| dc.source | 0717-6279 | |
| dc.source | 0716-0917 | |
| dc.subject | Generalized open sets | en-US |
| dc.subject | θ-closure | en-US |
| dc.subject | θω-closure | en-US |
| dc.subject | R₁ | en-US |
| dc.title | θω−Connectedness and ω−R1 properties | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
| dc.type | Artículo revisado por pares | es-ES |
| dc.type | text | en-US |
