فضاءات KC الأصغرية وفضاءات LC الأصغرية

Authors

  • راضي علي

Abstract

In this paper, we study KC-spaces; these are the spaces in which every compact subset is closed. Then we introduce the concept of minimal KC-spaces and we study the relation between minimal KC-spaces and minimal Hausdroff spaces. Finally, we introduce a new concept of minimal LC-spaces. Most of the theorems which are valid for minimal KC-spaces will also be valid for minimal LC-spaces.

يقال عن فضاء تبولوجي (X,t) إنه فضاء KC إذا كانت كل مجموعة متراصة فيه مجموعة مغلقة ويقال عنه إنه فضاء LC إذا كان كل فضاء لندلوف جزئي منه يشكل مجموعة مغلقة فيه.  ولقد قمنا في هذا البحث بدراسة فضاء KC و فضاء LC ثم قدمنا فضاءات  KCالأصغرية و فضاءات LC الأصغرية ودرسنا العلاقة بين فضاءات هاوسدورف الأصغرية وفضاءات KC الأصغرية ثم بينّا أن معظم النتائج المتحققة في حالة فضاءات KC تكون متحققة في حالة فضاءات LC.

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Published

2018-12-04

How to Cite

1.
علي ر. فضاءات KC الأصغرية وفضاءات LC الأصغرية. TUJ-BA [Internet]. 2018Dec.4 [cited 2025Apr.10];28(1). Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/4991

Issue

Vol. 28 No. 1 (2006): العلوم الأساسية

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Articles

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