The operator "T" and new type of open sets and spaces

العناوين الأخرى

المؤثر ت و أنواع جديدة من المجموعات المفتوحة و الفضاءات

مقدم أطروحة جامعية

Qasim, Ali Abd al-Hasan

مشرف أطروحة جامعية

al-Taani, Ali Ayid

أعضاء اللجنة

al-Hawari, Talal Ali
Masadah, Basem
Jabir, Hadi

الجامعة

جامعة مؤتة

الكلية

كلية العلوم

القسم الأكاديمي

قسم الرياضيات و الإحصاء

دولة الجامعة

الأردن

الدرجة العلمية

ماجستير

تاريخ الدرجة العلمية

2004

الملخص الإنجليزي

In this thesis, some types of open sets and forms of continuity were studied.

In addition to that, some properties of operator-connected spaces and operator-compact spaces were discussed.

A relatively new notion of covering property defined on a topological space which is called T-Lancelot is introduced and some of their properties, also are studied.

According to that the following results are obtained : 1.

If (X, r, T) is T-Lancelot and T-regular space, then (X, r) is Lancelot space.

2.

Every T-closed subset of T-Lancelot space is T-Lancelot.

3.

If (X, r, T) is T-Hausdorff space and T is T-Gs-regular operator then every T-Lancelot subset of X is T-Gs-closed set.

التخصصات الرئيسية

الرياضيات

عدد الصفحات

50

قائمة المحتويات

Table of contents.

Abstract.

Chapter one : Statement of the proplem.

Chapter two : T-operator and new open sets.

Chapter three : Operator of continuous function.

Chapter four : Operator connected.

Chapter five : Operator compact and operator lindelof.

Chapter six : Summary, conclusion and recomendtion.

References.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Qasim, Ali Abd al-Hasan. (2004). The operator "T" and new type of open sets and spaces. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-303746

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Qasim, Ali Abd al-Hasan. The operator "T" and new type of open sets and spaces. (Master's theses Theses and Dissertations Master). Mutah University. (2004).
https://search.emarefa.net/detail/BIM-303746

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Qasim, Ali Abd al-Hasan. (2004). The operator "T" and new type of open sets and spaces. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-303746

لغة النص

الإنجليزية

نوع البيانات

رسائل جامعية

رقم السجل

BIM-303746