The Priestley Separation Axiom for Scattered Spaces

Let R be a quasi-order on a compact Hausdorff topological space X. We prove that if X is scattered, then R satisfies the Priestley separation axiom if and only if R is closed in the product space X

• Type: Journal
• Year: 2002
• Where: ORDER
• Authors: Guram Bezhanishvili, Ray Mines, Patrick J. Morandi
• Keywords: Compact Hausdorff, ORDER 2002, Priestley Separation Axiom, Space X