CC-regular topological spaces

Altawallbeh, Zuhier

doi:10.28919/jmcs/7748

J. Math. Comput. Sci. 12 (2022), Article ID 202

CC-regular topological spaces

Zuhier Altawallbeh

PDF (122.9 KB) https://doi.org/10.28919/jmcs/7748

Abstract

A topological space X is called CC-regular if there exists a regular space Y and a bijective function f: X→Y such that f_|C: C→f(C) is homeomorphism for any countably compact subspace C of X. We investigate this definition. Some relations with weaker versions of regularity have been studied, as L-regular and C-regular spaces.

Published: 7 November 2022
Volume: 12 (2022)
License: CC BY 3.0

Copyright © 2022 Zuhier Altawallbeh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

Z. Altawallbeh, CC-regular topological spaces, J. Math. Comput. Sci. 12 (2022), 202. https://doi.org/10.28919/jmcs/7748

BibTeX

@article{Altawallbeh2022,
  author  = {Altawallbeh, Zuhier},
  title   = {CC-regular topological spaces},
  journal = {J. Math. Comput. Sci.},
  volume  = {12},
  year    = {2022},
  pages   = {202},
  doi     = {10.28919/jmcs/7748}
}