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Anglický jazyk
Pi-normality in Topological Spaces and its Generalization
Autor: Sadeq Ali Saad Thabit
The main aim of this work is to make a comprehensive study of a weaker version of normality called p-normality. We give a survey study of p-closed, p-open, pre-closed and pre-open sets, which are the keys of both p-normality and p-pre-normality. Some properties... Viac o knihe
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O knihe
The main aim of this work is to make a comprehensive study of a weaker version of normality called p-normality. We give a survey study of p-closed, p-open, pre-closed and pre-open sets, which are the keys of both p-normality and p-pre-normality. Some properties of these sets are given and proved. p -Normality is both a topological and an additive property, but neither a productive nor a hereditary property in general. The notion of p-generalized closed sets is used to obtain various characterizations and preservation theorems of p-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 p-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 p-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 p-normal. Some other results are presented in this work.
- Vydavateľstvo: Scholars' Press
- Rok vydania: 2017
- Formát: Paperback
- Rozmer: 220 x 150 mm
- Jazyk: Anglický jazyk
- ISBN: 9783330651388
