On the Wallman order compactification

Darrell Conley Kent

Vol. 118 (1985), No. 1, 159–163

DOI: 10.2140/pjm.1985.118.159

Abstract

The Wallman order compactification w₀X of a topological ordered space X has been constructed by Choe and Park. This paper establishes necessary and sufficient conditions for their compactification to be T₂-ordered, in which case it coincides with the Nachbin (or Stone-Čech order) compactification.

Mathematical Subject Classification 2000

Primary: 54D35

Secondary: 54F05

Milestones

Received: 14 October 1983

Revised: 12 January 1984

Published: 1 May 1985