On ω∗ -connected spaces
In this paper, we introduce the notion of 𝜔-separated sets and 𝜔∗-connected spaces. We obtain several properties of the notion analogous to those of connectedness. We show that the continuous image of the 𝜔∗-connected space is connected.
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Prince of Songkla University
2020-04-01
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| Series: | Songklanakarin Journal of Science and Technology (SJST) |
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| Online Access: | https://rdo.psu.ac.th/sjstweb/journal/42-2/5.pdf |
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doaj-8cc888e8654b424eaa9e328073a724b72020-11-25T03:25:50ZengPrince of Songkla UniversitySongklanakarin Journal of Science and Technology (SJST)0125-33952020-04-0142228028310.14456/sjst-psu.2020.36On ω∗ -connected spacesAhmad Al-Omari0Hanan Al-Saadi1Department of Mathematics, Faculty of Sciences, Al al-Bayt University, Mafraq, 25113 JordanDepartment of Mathematics, Faculty of Applied Sciences, Umm Al-Qura University, Makkah, 21955 Saudi ArabiaIn this paper, we introduce the notion of 𝜔-separated sets and 𝜔∗-connected spaces. We obtain several properties of the notion analogous to those of connectedness. We show that the continuous image of the 𝜔∗-connected space is connected.https://rdo.psu.ac.th/sjstweb/journal/42-2/5.pdf𝜔-open set𝜔-separated𝜔-connected𝜔-component |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ahmad Al-Omari Hanan Al-Saadi |
| spellingShingle |
Ahmad Al-Omari Hanan Al-Saadi On ω∗ -connected spaces Songklanakarin Journal of Science and Technology (SJST) 𝜔-open set 𝜔-separated 𝜔-connected 𝜔-component |
| author_facet |
Ahmad Al-Omari Hanan Al-Saadi |
| author_sort |
Ahmad Al-Omari |
| title |
On ω∗ -connected spaces |
| title_short |
On ω∗ -connected spaces |
| title_full |
On ω∗ -connected spaces |
| title_fullStr |
On ω∗ -connected spaces |
| title_full_unstemmed |
On ω∗ -connected spaces |
| title_sort |
on ω∗ -connected spaces |
| publisher |
Prince of Songkla University |
| series |
Songklanakarin Journal of Science and Technology (SJST) |
| issn |
0125-3395 |
| publishDate |
2020-04-01 |
| description |
In this paper, we introduce the notion of 𝜔-separated sets and 𝜔∗-connected spaces. We obtain several properties of the
notion analogous to those of connectedness. We show that the continuous image of the 𝜔∗-connected space is connected. |
| topic |
𝜔-open set 𝜔-separated 𝜔-connected 𝜔-component |
| url |
https://rdo.psu.ac.th/sjstweb/journal/42-2/5.pdf |
| work_keys_str_mv |
AT ahmadalomari onōconnectedspaces AT hananalsaadi onōconnectedspaces |
| _version_ |
1724595330361589760 |