Partial Pre-Normality

Sadeq Ali Saad  Thabit

doi:10.59167/tujnas.v8i1.1485

Partial Pre-Normality

Authors

Sadeq Ali Saad Thabit Department of Mathematics, Faculty of Education Almahra, Hadhramout University, Yemen Author

DOI:

https://doi.org/10.59167/tujnas.v8i1.1485

Keywords:

Partially normal, Pre-normal, Almost pre-normal, Mildly pre-normal, Quasi pre-normal

Abstract

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.

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Published

13-06-2023

Issue

Vol. 8 No. 1 (2023): Volume (8) Number (1)

Section

Full-length articles

License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Partial Pre-Normality (S. A. S. . Thabit, Trans.). (2023). Thamar University Journal of Natural & Applied Sciences, 8(1), 1-16. https://doi.org/10.59167/tujnas.v8i1.1485