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

Other Title(s)

المؤثر ت و أنواع جديدة من المجموعات المفتوحة و الفضاءات

Dissertant

Qasim, Ali Abd al-Hasan

Thesis advisor

al-Taani, Ali Ayid

Comitee Members

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

University

Mutah University

Faculty

Faculty of Science

Department

Department of Mathematics and Statistics

University Country

Jordan

Degree

Master

Degree Date

2004

English Abstract

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.

Main Subjects

Mathematics

No. of Pages

50

Table of Contents

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.

American Psychological Association (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

Modern Language Association (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

American Medical Association (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

Language

English

Data Type

Arab Theses

Record ID

BIM-303746