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A new type of generalized closed sets via hereditary classes | ||
| Caspian Journal of Mathematical Sciences | ||
| دوره 14، شماره 1 - شماره پیاپی 27، 2025، صفحه 143-155 اصل مقاله (134.62 K) | ||
| نوع مقاله: Research Articles | ||
| شناسه دیجیتال (DOI): 10.22080/cjms.2025.28630.1743 | ||
| نویسندگان | ||
| Amin Talabeigi* 1؛ Ghasem Mirhosseinkhani2 | ||
| 1Department of Mathematics, Payame Noor University, P.O. Box, 19395-4697, Tehran, Iran | ||
| 2Department of Mathematics and Computer Sciences, Sirjan Universityof Technology, Sirjan, Iran. | ||
| تاریخ دریافت: 25 بهمن 1403، تاریخ بازنگری: 27 فروردین 1404، تاریخ پذیرش: 29 اردیبهشت 1404 | ||
| چکیده | ||
| A hereditary class H on a set X is a nonempty collection of subsets of X which is closed under taking subsets. In this paper, we introduce a new class of generalized closed sets in topological spaces called Hg-closed by using hereditary classes. We investigate the relationship of this type of closed sets with other types of closed sets of topological spaces and of generalized topological space. In addition, we obtain some characterizati- ons of this class in T1 topological spaces. | ||
| کلیدواژه‌ها | ||
| Hereditary class؛ Generalized closed set؛ Hg-closed set | ||
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آمار تعداد مشاهده مقاله: 62 تعداد دریافت فایل اصل مقاله: 31 |
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