Pi-normality in Topological Spaces and its Generalization: Basics, Concepts, Properties, Examples and some Results - Softcover

Thabit, Sadeq Ali Saad

Softcover

ISBN 10: 3330651385 ISBN 13: 9783330651388

Verlag: Scholars' Press, 2017

Inhaltsangabe

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.

Über diesen Titel

Über die Autorin bzw. den Autor

Dr. SADEQ ALI SAAD THABIT.Studied pure mathematics, topology at Universiti Sains Malaysia. Assistant professor at Hadhramout University, Almahra, Yemen.

Details zur Ausgabe

• Verlag: Scholars' Press
• Erscheinungsdatum: 2017
• Sprache: Englisch
• ISBN 10: 3330651385
• ISBN 13: 9783330651388
• Einband: Taschenbuch
• Anzahl der Seiten: 204
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Editions Vie; customerservice@vdm-vsg.de; ; Brivibas gatve 197; Riga; 1039; Lettland