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Extension of topological derived set operator and topological closure set operator via a class of sets to construct generalized topologies | ||
| Caspian Journal of Mathematical Sciences | ||
| مقاله 3، دوره 11، شماره 1، 2022، صفحه 26-39 اصل مقاله (301.85 K) | ||
| نوع مقاله: Research Articles | ||
| شناسه دیجیتال (DOI): 10.22080/cjms.2020.16460.1397 | ||
| نویسنده | ||
| Amin Talabeigi* | ||
| Department of Mathematics, Payame Noor University, P.O. Box, 19395-3697, Tehran, Iran. | ||
| تاریخ دریافت: 14 خرداد 1398، تاریخ بازنگری: 30 مهر 1399، تاریخ پذیرش: 11 آبان 1399 | ||
| چکیده | ||
| In this paper we intend to extract some types of generalized topologies from a topological space. To do this, we first generalize the derived set operator and the closure operator of a topological space using a class of subsets of the space, this collection is called the hereditary family since it is closed under the operation subset. The generalized closure operator induces a structure that is our desired generalized topology. | ||
| کلیدواژه‌ها | ||
| Generalized topology؛ Generalized topological space؛ Generalized derived set operator؛ Generalized closure operator. Hereditary family | ||
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آمار تعداد مشاهده مقاله: 328 تعداد دریافت فایل اصل مقاله: 315 |
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