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

Issue

Vol. 14 No. 4: (October 2021)

Section

Nonlinear Analysis

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How to Cite

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