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On soft βc-open sets in soft topological spaces
Other Title(s)
حول المجموعات المفتوحة اللينة من النوع βc في التبولوجيا اللينة
Dissertant
Thesis advisor
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
No. of Pages
68
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Introduction.
Chapter One : Preliminaries.
Chapter Two : Soft topological spaces.
Chapter Three : Generalized soft open sets.
Chapter Four : New type of soft B-open Sets.
Conclusion.
References.
American Psychological Association (APA)
Fayyd, Ilayyan Ahmad Sulayman. (2017). On soft βc-open sets in soft topological spaces. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-901170
Modern Language Association (MLA)
Fayyd, Ilayyan Ahmad Sulayman. On soft βc-open sets in soft topological spaces. (Master's theses Theses and Dissertations Master). Islamic University. (2017).
https://search.emarefa.net/detail/BIM-901170
American Medical Association (AMA)
Fayyd, Ilayyan Ahmad Sulayman. (2017). On soft βc-open sets in soft topological spaces. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-901170
Language
English
Data Type
Arab Theses
Record ID
BIM-901170