Complete Hausdorffness and Complete Regularity on Supra Topological Spaces

The supra topological topic is of great importance in preserving some topological properties under conditions weaker than topology and constructing a suitable framework to describe many real-life problems. Herein, we introduce the version of complete Hausdorffness and complete regularity on supra to...

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Autor principal:	T. M. Al-shami
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/8703f98310eb4df2862f08864e61ea27
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spelling	oai:doaj.org-article:8703f98310eb4df2862f08864e61ea272021-11-22T01:11:34ZComplete Hausdorffness and Complete Regularity on Supra Topological Spaces1687-004210.1155/2021/5517702https://doaj.org/article/8703f98310eb4df2862f08864e61ea272021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/5517702https://doaj.org/toc/1687-0042The supra topological topic is of great importance in preserving some topological properties under conditions weaker than topology and constructing a suitable framework to describe many real-life problems. Herein, we introduce the version of complete Hausdorffness and complete regularity on supra topological spaces and discuss their fundamental properties. We show the relationships between them with the help of examples. In general, we study them in terms of hereditary and topological properties and prove that they are closed under the finite product space. One of the issues we are interested in is showing the easiness and diversity of constructing examples that satisfy supra Ti spaces compared with their counterparts on general topology.T. M. Al-shamiHindawi LimitedarticleMathematicsQA1-939ENJournal of Applied Mathematics, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mathematics QA1-939
spellingShingle	Mathematics QA1-939 T. M. Al-shami Complete Hausdorffness and Complete Regularity on Supra Topological Spaces
description	The supra topological topic is of great importance in preserving some topological properties under conditions weaker than topology and constructing a suitable framework to describe many real-life problems. Herein, we introduce the version of complete Hausdorffness and complete regularity on supra topological spaces and discuss their fundamental properties. We show the relationships between them with the help of examples. In general, we study them in terms of hereditary and topological properties and prove that they are closed under the finite product space. One of the issues we are interested in is showing the easiness and diversity of constructing examples that satisfy supra Ti spaces compared with their counterparts on general topology.
format	article
author	T. M. Al-shami
author_facet	T. M. Al-shami
author_sort	T. M. Al-shami
title	Complete Hausdorffness and Complete Regularity on Supra Topological Spaces
title_short	Complete Hausdorffness and Complete Regularity on Supra Topological Spaces
title_full	Complete Hausdorffness and Complete Regularity on Supra Topological Spaces
title_fullStr	Complete Hausdorffness and Complete Regularity on Supra Topological Spaces
title_full_unstemmed	Complete Hausdorffness and Complete Regularity on Supra Topological Spaces
title_sort	complete hausdorffness and complete regularity on supra topological spaces
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/8703f98310eb4df2862f08864e61ea27
work_keys_str_mv	AT tmalshami completehausdorffnessandcompleteregularityonsupratopologicalspaces
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Complete Hausdorffness and Complete Regularity on Supra Topological Spaces

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