A New Closed Set in Topological Spaces

Our purpose of this work is to implement a class of sg^-closed sets, which is property placed among the classes of semiclosed sets and gs-closed sets. The relations with other concepts directly or indirectly joined with generalized closed sets are inspected. In addition, as an application, using the...

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Main Author: A. A. Azzam
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2021/6617224
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spelling doaj-e686c8ae93ef44bcbeebc86c3ce22de42021-06-14T00:17:46ZengHindawi LimitedMathematical Problems in Engineering1563-51472021-01-01202110.1155/2021/6617224A New Closed Set in Topological SpacesA. A. Azzam0Department of MathematicsOur purpose of this work is to implement a class of sg^-closed sets, which is property placed among the classes of semiclosed sets and gs-closed sets. The relations with other concepts directly or indirectly joined with generalized closed sets are inspected. In addition, as an application, using the notion of sg^-closed sets, we give a brief expansion of a new space named Tsg^-space.http://dx.doi.org/10.1155/2021/6617224
collection DOAJ
language English
format Article
sources DOAJ
author A. A. Azzam
spellingShingle A. A. Azzam
A New Closed Set in Topological Spaces
Mathematical Problems in Engineering
author_facet A. A. Azzam
author_sort A. A. Azzam
title A New Closed Set in Topological Spaces
title_short A New Closed Set in Topological Spaces
title_full A New Closed Set in Topological Spaces
title_fullStr A New Closed Set in Topological Spaces
title_full_unstemmed A New Closed Set in Topological Spaces
title_sort new closed set in topological spaces
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1563-5147
publishDate 2021-01-01
description Our purpose of this work is to implement a class of sg^-closed sets, which is property placed among the classes of semiclosed sets and gs-closed sets. The relations with other concepts directly or indirectly joined with generalized closed sets are inspected. In addition, as an application, using the notion of sg^-closed sets, we give a brief expansion of a new space named Tsg^-space.
url http://dx.doi.org/10.1155/2021/6617224
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