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

AlAwadi, Alyaa; Thabit, Sadeq Ali

doi:10.28924/2291-8639-23-2025-51

Research Article

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

Alyaa AlAwadi*
Sadeq Ali Thabit

* Corresponding author

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.

How to Cite

A. AlAwadi, S. A. Thabit, \(L\)-Mild Normality and \(L_2\)-Mild Normality, Int. J. Anal. Appl. 23 (2025), 51. https://doi.org/10.28924/2291-8639-23-2025-51

BibTeX

@article{AlAwadi2025,
  author  = {AlAwadi, Alyaa and Thabit, Sadeq Ali},
  title   = {\(L\)-Mild Normality and \(L_2\)-Mild Normality},
  journal = {Int. J. Anal. Appl.},
  volume  = {23},
  year    = {2025},
  pages   = {51},
  doi     = {10.28924/2291-8639-23-2025-51}
}

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