\(L\)-Mild Normality and \(L_2\)-Mild Normality

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DOI: https://doi.org/10.28924/2291-8639-23-2025-51
Published: Feb 21, 2025
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Alyaa AlAwadi, Sadeq Ali Thabit, \(L\)-Mild Normality and \(L_2\)-Mild Normality, Int. J. Anal. Appl., 23 (2025), 51.

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Alyaa AlAwadi, Sadeq Ali Thabit

Abstract

The purpose of this work is to introduce and study two new topological properties called \(L\)-mild normality and \(L_2\)-mild normality. A space \(X\) is called an \(L\)-mildly normal space if there exist a mildly normal space \(Y\) and a bijective function \(f:X\to Y\) such that the restriction function \(f|_A:A\to f(A) \) is a homeomorphism for each Lindelof subspace \(A\subseteq X\). If the space \(Y\) is Hausdorff, then the space \(X\) is called \(L_2\)-mildly normal. We investigate these properties and present some examples to illustrate the relationships among \(L\)-mild normality and \(L_2\)-mild normality with other kinds of topological properties.

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