Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Topology on Semi-Well Ordered Sets

  • Angela Sunny (Department of Mathematics, University of Calicut) ;
  • P. Sini (Department of Mathematics, University of Calicut)
  • Received : 2023.04.02
  • Accepted : 2023.09.04
  • Published : 2024.03.31
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Abstract

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

Acknowledgement

The authors are grateful to late Prof. P. T. Ramachandran for interesting discussions and useful comments. The first author is thankful for the financial support provided by the University Grants Commission, Government of India. The authors are also thankful to the reviewers and editors for their valuable comments, which helped to improve the presentation of the paper.

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