Article
Kyungpook Mathematical Journal 2024; 64(1): 161-169
Published online March 31, 2024 https://doi.org/10.5666/KMJ.2024.64.1.161
Copyright © Kyungpook Mathematical Journal.
Topology on Semi-Well Ordered Sets
Angela Sunny∗ and P. Sini
Department of Mathematics, University of Calicut, Malappuram, Kerala, India
e-mail : angelasunny@uoc.ac.in and sini@uoc.ac.in
Received: April 2, 2023; Revised: August 20, 2023; Accepted: September 4, 2023
A semi-well ordered set is a partially ordered set in which every non-empty subset of it contains a least element or a greatest element. It is defined as an extension of the concept of well ordered sets. An attempt is made to identify the properties of a semi-well ordered set equipped with the order topology.
Keywords: Chain, Well ordered set, Semi-well ordered set, Order topology