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Characteristics of penta-open sets in penta topological spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، شماره 2، بهمن 2021، صفحه 2463-2475 اصل مقاله (1008.5 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.5388 | ||
| نویسندگان | ||
| Rana B Yaseen* 1؛ Ali A Shihab2؛ Mizal H Alobaidi3 | ||
| 1Department of mathematics, College of education for women, Tikrit University, Iraq. | ||
| 2Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Iraq. | ||
| 3Department of Mathematics, College of Computer Science and Mathematics, Tikrit University, Iraq. | ||
| تاریخ دریافت: 03 اسفند 1399، تاریخ بازنگری: 06 خرداد 1400، تاریخ پذیرش: 15 خرداد 1400 | ||
| چکیده | ||
| The aim of the presented study is to introduce and verify two new spaces called $\mathcal{P}\_$ compactness and $\mathcal{P}\_$connectedness using $\mathcal{P}\_$open sets and some of their properties. Moreover, we study the relationship between these spaces. Another purpose of this study is to examine a new form of separation axioms, by using $\mathcal{P}\_$open set namely $T_{\mathcal{P}i}$-spaces where $(i=0,1,2)$. The pertinence between them has been discussed and several features of these spaces are demonstrated as well. | ||
| کلیدواژه‌ها | ||
| Penta Topological Space؛ $\mathcal{P}-$irresolute function؛ $\mathcal{P}-$compactness؛ locally $\mathcal{P}-$compact؛ $\mathcal{P}-$Connectedness؛ $\mathcal{P}-$separated؛ strongly $\mathcal{P}-$connected؛ $T_{\mathcal{P}i}$-space | ||
| مراجع | ||
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