Open AccessEpi-Partial Normality
Author(s) -
Sadeq Ali Saad Thabit
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1900/1/012013
Subject(s) - normality , mathematics , hausdorff space , property (philosophy) , pure mathematics , statistics , philosophy , epistemology
The main aim of this work is to study a new version of normality called epi-partial normality, which lies between epi-almost normality and epi-mild normality. A space (X, T ) is called an epi-partially normal space if there exists a topology T ’, which is coarser than T , such that (X, T ’) is Hausdorff partially normal. In this work, we investigate this property and present some examples that illustrate the relationships between epi-partial normality and other weaker kinds of both normality and regularity. We show that this property is a topological, a semi regularization and an additive property. Some properties and relationships of epi-partial normality are presented and proved.