Partial Pre-Normality

Authors

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

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

How to Cite

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

Issue

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

Section

Full-length articles

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Copyright (c) 2023 Thamar University

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