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Synopsis
The main aim of this work is to make a comprehensive study of a weaker version of normality called π-normality. We give a survey study of π-closed, π-open, pre-closed and pre-open sets, which are the keys of both π-normality and π-pre-normality.The notion of π-generalized closed sets is used to obtain various characterizations and preservation theorems of π-normality. Some different results are presented in this work.
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Pi-normality in Topological Spaces and its Generalization
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Scholars' Press Mrz 2017, 2017
ISBN 10: 3330651385
ISBN 13: 9783330651388
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The main aim of this work is to make a comprehensive study of a weaker version of normality called pi-normality. We give a survey study of pi-closed, pi-open, pre-closed and pre-open sets, which are the keys of both pi-normality and pi-pre-normality. Some properties of these sets are given and proved. pi -Normality is both a topological and an additive property, but neither a productive nor a hereditary property in general. The notion of pi-generalized closed sets is used to obtain various characterizations and preservation theorems of pi-normality. Some properties of almost regular as well as almost completely regular spaces are presented, and a few results of them are improved. Some relationships between pi-normality and both almost regularity and almost complete regularity are given. The important results are about presenting some counterexamples; the first one is about a semi-normal Hausdorff space but not pi-normal. The second one is about an almost normal Tychonoff space but not quasi-normal and the third one is about an almost normal Tychonoff space but not pi-normal. Some other results are presented in this work. 204 pp. Englisch. Seller Inventory # 9783330651388
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Pi-normality in Topological Spaces and its Generalization
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Thabit Sadeq Ali SaadDr. SADEQ ALI SAAD THABIT.Studied pure mathematics, topology at Universiti Sains Malaysia. Assistant professor at Hadhramout University, Almahra, Yemen.The main aim of this work is to make a comprehensive stu. Seller Inventory # 151238809
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Pi-normality in Topological Spaces and its Generalization : Basics, Concepts, Properties, Examples and some Results
Print on DemandSeller: AHA-BUCH GmbH, Einbeck, Germany
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - The main aim of this work is to make a comprehensive study of a weaker version of normality called pi-normality. We give a survey study of pi-closed, pi-open, pre-closed and pre-open sets, which are the keys of both pi-normality and pi-pre-normality. Some properties of these sets are given and proved. pi -Normality is both a topological and an additive property, but neither a productive nor a hereditary property in general. The notion of pi-generalized closed sets is used to obtain various characterizations and preservation theorems of pi-normality. Some properties of almost regular as well as almost completely regular spaces are presented, and a few results of them are improved. Some relationships between pi-normality and both almost regularity and almost complete regularity are given. The important results are about presenting some counterexamples; the first one is about a semi-normal Hausdorff space but not pi-normal. The second one is about an almost normal Tychonoff space but not quasi-normal and the third one is about an almost normal Tychonoff space but not pi-normal. Some other results are presented in this work. Seller Inventory # 9783330651388
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Pi-normality in Topological Spaces and its Generalization | Basics, Concepts, Properties, Examples and some Results
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Taschenbuch. Condition: Neu. Pi-normality in Topological Spaces and its Generalization | Basics, Concepts, Properties, Examples and some Results | Sadeq Ali Saad Thabit | Taschenbuch | Englisch | 2017 | Scholars' Press | EAN 9783330651388 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu. Seller Inventory # 113166741
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Pi-normality in Topological Spaces and its Generalization
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Scholars' Press Mär 2017, 2017
ISBN 10: 3330651385
ISBN 13: 9783330651388
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Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germany
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -The main aim of this work is to make a comprehensive study of a weaker version of normality called ¿-normality. We give a survey study of ¿-closed, ¿-open, pre-closed and pre-open sets, which are the keys of both ¿-normality and ¿-pre-normality. Some properties of these sets are given and proved. ¿ -Normality is both a topological and an additive property, but neither a productive nor a hereditary property in general. The notion of ¿-generalized closed sets is used to obtain various characterizations and preservation theorems of ¿-normality. Some properties of almost regular as well as almost completely regular spaces are presented, and a few results of them are improved. Some relationships between ¿-normality and both almost regularity and almost complete regularity are given. The important results are about presenting some counterexamples; the first one is about a semi-normal Hausdorff space but not ¿-normal. The second one is about an almost normal Tychonoff space but not quasi-normal and the third one is about an almost normal Tychonoff space but not ¿-normal. Some other results are presented in this work.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 204 pp. Englisch. Seller Inventory # 9783330651388
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