New Topologies between the Usual Topology and the Half-disc

Authors

  • Nadiah Alghamdi
  • Lutfi Nooruddin Kalantan Mathematics Department King Abdulaziz University Jeddah Saudi Arabia

DOI:

https://doi.org/10.29020/nybg.ejpam.v14i4.4061

Keywords:

$H$-space, Half-disc, usual metric topology, mildly normal, $\kappa$-normal, $\kappa$-metrizable, submetrizable.

Abstract

We generate new topologies on the closed upper half plane which lie between the usual topology and the half-disc topology. We study some of their fundamental properties and weaker versions of normality.

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Published

2021-11-10

How to Cite

Alghamdi, N., & Kalantan, L. N. (2021). New Topologies between the Usual Topology and the Half-disc. European Journal of Pure and Applied Mathematics, 14(4), 1161–1168. https://doi.org/10.29020/nybg.ejpam.v14i4.4061

Issue

Vol. 14 No. 4: (October 2021)

Section

Nonlinear Analysis

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

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