S — Compactness Via Ideals

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S — Compactness Via Ideals

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Title: S — Compactness Via Ideals
Author: Abdel Monsef, M. E. [محمد عزت عبد المنصف]
Abstract: Compactness modulo as an ideal has not been widely studied. Many new sorts of weak compactness have been introduced to topological spaces in the last twenty years but have not been studied using ideals. So, the main aim of our work is to study relations between ideals and some types of weak compactness. We initiate types of compactness modulo an ideal that generalize semi-compactness, S-closeness, S-Lindelofness and other types of compactness. Moreover, we study some of their properties and characterizations.تم خلال العقدين الماضيين إدخالى أنواع عديدة من مفاهيم التراص الضعيف في الفضاء ات التبولوجية إلا أنه لم تتم دراسة مفهوم التراص بالنسبهة لمثالي جبري في هذه الفضاء ات بصورة موسعة . ندرس . في هذا البحث العلاقات بين المتأليات وبعض مفاهيم التراص الضعيف .
URI: http://hdl.handle.net/10576/10247
Date: 1991

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