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http://hdl.handle.net/20.500.12358/24021
TitleTopological Properties in Isotonic Spaces
Untitled
Abstract

An isotonic space (X, cl) is a set X with isotonic operator cl : P(X) ! P(X) which satisfies cl(;) = ; and cl(A) cl(B) whenever A B X. Many properties which hold in topological spaces hold in isotonic spaces as well. We explore the topological concepts of lower separation axioms, higher separation axioms and connectedness for isotonic spaces, and we establish that they are topological properties in isotonic spaces

Authors
Habil, Eissa D.
Elzenati, Khalid A.
TypeJournal Article
Date2008
LanguageEnglish
Subjects
generalized closure spaces
isotonic spaces
neighborhood spaces
topological properties
lower separation axioms
con- nectedness
z-connectedness
strong connectedness ams subject classification: 54a05 *
higher separation axioms
Published inIUG Journal for Natural and Engineering Studies
SeriesVolume: 16, Number: 2
Publisherالجامعة الإسلامية - غزة
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  • Staff Publications- Faculty of Science [1030]
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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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