One-point Order-compactifications
نویسندگان
چکیده
We classify all one-point order-compactifications of a noncompact locally compact order-Hausdorff ordered topological space X. We give a necessary and sufficient condition for a one-point order-compactification of X to be a Priestley space. We show that although among the one-point order-compactifications of X there may not be a least one, there always is a largest one, which coincides with the one-point order-compactification of X described by McCallion [7]. In fact, we prove that whenever X satisfies the condition given in McCartan [8], then the largest one-point ordercompactification of X coincides with the one described by McCartan [8].
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