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On the Wallman order compactification

On the Wallman order compactification

The Wallman order compactίf icatίon w 0 X 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 Γ 2 -ordered, in which case it coincides with the Nachbin (or Stone-Cech order) compactification.