On Composition of Continuity in ideal Topological spaces

We define new classes of sets called pre- ̂-closed set and pre- ̂-open set. Also we define new ideal topological spaces is called ̂-spaces, the notion of pre- ̂-closed set in is applied to study a new class of functions, continuous function and composition of continuity in ideal topological space...

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Main Authors: Muna Jabbar Mohammad, Faik Mayah
Format: Article
Language:English
Published: College of Education for Pure Sciences 2022-09-01
Series:Wasit Journal for Pure Sciences
Subjects:
Online Access:https://wjps.uowasit.edu.iq/index.php/wjps/article/view/40
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author Muna Jabbar Mohammad
Faik Mayah
author_facet Muna Jabbar Mohammad
Faik Mayah
author_sort Muna Jabbar Mohammad
collection DOAJ
description We define new classes of sets called pre- ̂-closed set and pre- ̂-open set. Also we define new ideal topological spaces is called ̂-spaces, the notion of pre- ̂-closed set in is applied to study a new class of functions, continuous function and composition of continuity in ideal topological spaces, so that we investigate some properties, characterizations of these functions.
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spelling doaj.art-52bbb5fc3d4744c99d09c5af8d828fb52024-03-02T02:03:26ZengCollege of Education for Pure SciencesWasit Journal for Pure Sciences2790-52332790-52412022-09-011210.31185/wjps.40On Composition of Continuity in ideal Topological spacesMuna Jabbar Mohammad 0Faik MayahCollege of Education for Pure Sciences, Wasit University, Iraq We define new classes of sets called pre- ̂-closed set and pre- ̂-open set. Also we define new ideal topological spaces is called ̂-spaces, the notion of pre- ̂-closed set in is applied to study a new class of functions, continuous function and composition of continuity in ideal topological spaces, so that we investigate some properties, characterizations of these functions. https://wjps.uowasit.edu.iq/index.php/wjps/article/view/40Ideal topological spaces, continuous functions, Pre- ̂-closed, Pre- ̂-open, ̂.-space.
spellingShingle Muna Jabbar Mohammad
Faik Mayah
On Composition of Continuity in ideal Topological spaces
Wasit Journal for Pure Sciences
Ideal topological spaces, continuous functions, Pre- ̂-closed, Pre- ̂-open, ̂.-space.
title On Composition of Continuity in ideal Topological spaces
title_full On Composition of Continuity in ideal Topological spaces
title_fullStr On Composition of Continuity in ideal Topological spaces
title_full_unstemmed On Composition of Continuity in ideal Topological spaces
title_short On Composition of Continuity in ideal Topological spaces
title_sort on composition of continuity in ideal topological spaces
topic Ideal topological spaces, continuous functions, Pre- ̂-closed, Pre- ̂-open, ̂.-space.
url https://wjps.uowasit.edu.iq/index.php/wjps/article/view/40
work_keys_str_mv AT munajabbarmohammad oncompositionofcontinuityinidealtopologicalspaces
AT faikmayah oncompositionofcontinuityinidealtopologicalspaces