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Partial Pre-Normality
The main purpose of this paper is to study a new weaker version of pre-normality called partial pre-normality, which lies between almost pre-normality (resp. quasi pre-normality) and mild pre-normality. A space is called a partially pre-normal space if for any two disjoint closed subsets of , one of which is closed domain and the other is -closed, can be separated by two disjoint pre-open subsets. We investigate this property and present some examples to illustrate the relationships between partial pre-normality and other weaker kinds of both pre-normality and pre-regularity.
Partially normal
Pre-normal
Almost pre-normal
Mildly pre-normal
Quasi pre-normal
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