دراسة موضوعات الفصل : - , - , -

Authors

  • عدنان ظريف
  • أسعد الخفاجي

Abstract

 

لقد أدخل العالم الرياضي   Njastad لأول مرة في عام 1965 مفهوماً جديداً للمجموعات المفتوحة أسماها المجموعات المفتوحة من النوع a وقام بدراستها .

وباستخدام هذا المفهوم تم تعريف مجموعات أخرى جديدة في الفضاءات التبولوجية مثل المجموعات شبه المفتوحة من النوع a, والمجموعات المغلقة المعممة من النوع a .

نحاول في هذا البحث دراسة بعض المفاهيم التبولوجية باستخدام هذا المفهوم الجديد, وقد قمنا بتوضيح العلاقة بين المجموعات المفتوحة والمجموعات المفتوحة من النوع a .

كما أننا استخدمنا هذا المفهوم في دراسة أنواع جديدة من موضوعات الفصل سميت موضوعات الفصل من النوع a والموضوعات التي قمنا بدراستها هي : a-  , a-  , a-  .

In 1965, the mathematician Njastad introduced and studied, for the first time, a new concept of open set which is called “a-open set”.  And by using this concept, it was defined another new open sets in topological spaces which is called “semi a-open set ” in addition to ''a- generalized closed set "  .

We Try in this paper to study most of the topological concepts by using this new concept, and we have clarified the relation between open sets and  a-open sets. Also, we use this concept to study new kinds of separation axioms which is called "a- separation axioms " .

And the axioms  we have studied are : a- , a- , a-  .

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Published

2018-12-09

How to Cite

1.
ظريف ع, الخفاجي أ. دراسة موضوعات الفصل : - , - , -. TUJ-BA [Internet]. 2018Dec.9 [cited 2024Nov.24];34(2). Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/5251

Issue

Vol. 34 No. 2 (2012): العلوم الأساسية

Section

Articles

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