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http://hdl.handle.net/20.500.12358/21335
TitleMinimal Structure and Related Alexandroff Spaces
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Abstract

Alexandroff topological space is a kind of topology which satisfies a stronger condition. Namely, arbitrary intersections of open sets is open. The main aim of this thesis is to study the concepts of an Alexandroff topological spaces which related to a family of subsets of a nonempty set called minimal structure. We study some families of a new type of minimal structure and construct a new collection of sets related to this minimal structure such as ∧m and Vm which will be Alexandroff spaces. We study some of topological properties using previous studies of Alexandroff spaces. We give a characterization of the order which generated by these topological spaces. We prove that the topologies generated by this Order are the same topologies Λm on X. Finally we study some mappings related to these new type of topologies related to m-structure.

Authors
Asad, Asmaa Asad
Supervisors
Mahdi, Hisham B
Typeرسالة ماجستير
Date2014
LanguageEnglish
Publisherالجامعة الإسلامية - غزة
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  • PhD and MSc Theses- Faculty of Science [445]
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The institutional repository of the Islamic University of Gaza was established as part of the ROMOR project that has been co-funded with support from the European Commission under the ERASMUS + European programme. This publication reflects the views only of the author, and the Commission cannot be held responsible for any use which may be made of the information contained therein.

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The institutional repository of the Islamic University of Gaza was established as part of the ROMOR project that has been co-funded with support from the European Commission under the ERASMUS + European programme. This publication reflects the views only of the author, and the Commission cannot be held responsible for any use which may be made of the information contained therein.

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