On soft βc-open sets in soft topological spaces

Other Title(s)

حول المجموعات المفتوحة اللينة من النوع βc في التبولوجيا اللينة

Dissertant

Fayyd, Ilayyan Ahmad Sulayman

Thesis advisor

Mahdi, Hisham Bashir

University

Islamic University

Faculty

Faculty of Science

Department

Department of Mathematics

University Country

Palestine (Gaza Strip)

Degree

Master

Degree Date

2017

English Abstract

In this thesis, a new class of generalized soft open sets in soft topological spaces, called soft βc-open sets, is introduced and studied.

In particular, the class of soft βc-open sets contained properly in the class of soft β-open sets.

This class is incomparable with the classes of soft open sets, soft pre-open sets and soft semi-open sets.

We prove that in a soft locally indiscrete space every soft semi-open set is a soft βc-open set.

We also introduce and study the concepts of soft βc-interior, soft βc-closure.

Finally, we introduce the concepts of soft βc-continuous function, soft βc-open function, soft βc-closed function and soft βc-irresolute function.

We prove that in a soft locally indiscrete space fpu is a soft continuous function if and only if fpu is a soft βc-continuous function.

Main Subjects

Mathematics

No. of Pages

68

Table of Contents

• APA
• MLA
• AMA

Language

English

Data Type

Arab Theses

Record ID

BIM-901170