Semi-Regularization Topological Spaces

Authors

  • Nouf Alfarsi King Abdulaziz University
  • Dina Abuzaid King Abdulaziz University
  • Lutfi Kalantan King Abdulaziz University

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i3.4386

Keywords:

Semi-regular, semi-regularization, Alexandroff duplicate, closed extension, discrete extension, open extension, $C$-normality, epi-normality, submetrizability, scattered

Abstract

If ( X , τ ) is a topological space, then the semi-regularization topology τ s on X of τ is the coarser topology on X generated by the family of all open domains of ( X , τ ) where a subset U is called an open domain if U = int(U). In this paper, we study the semi-regularity of some generated spaces and some properties of weaker version of normality of the semi-regularization space ( X , τ s ) of a space ( X , τ ).

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How to Cite

Alfarsi, N., Abuzaid, D. ., & Kalantan, L. . (2022). Semi-Regularization Topological Spaces. European Journal of Pure and Applied Mathematics, 15(3), 821–829. https://doi.org/10.29020/nybg.ejpam.v15i3.4386