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http://hdl.handle.net/20.500.12358/24098
TitleNew Types of Alexandroff Lattice Spaces
Untitled
Abstract

In this paper, we introduce and investigate new types of Alexandroff spaces using well known types of posets; under the conditions that the corresponding poset is complete lattice, distributive lattice and Boolean Algebra. We present some results about these types. Some characterizations of spaces, spaces, space and spaces are obtained and it mainly shown that a space is space if and only if it is homeomorphic to a product of  copies of Sierpinski space if and only if every join-irreducible element is an atom.

Authors
Mahdi, Hisham B.
Othman, Heba A.
TypeJournal Article
Date2017
LanguageEnglish
Subjects
lattice
distributive lattice
complete lattice
alexandroff space
boolean algebra
Published inIUG Journal of Natural Studies: (Special Issue) The Sixth International Conference on Science & Development � 14-15 march 2017
SeriesVolume: 25, Number: 2
Publisherالجامعة الإسلامية - غزة
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  • Staff Publications- Faculty of Science [907]
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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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