Pointed Closed Convex Sets are the Intersection of All Rational Supporting Closed Halfspaces
classification
🧮 math.OC
keywords
closedconvexhalfspacesintersectionpointedrationalsetsauthors
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We prove that every pointed closed convex set in $\mathbb{R}^n$ is the intersection of all the rational closed halfspaces that contain it. This generalizes a previous result by the authors for compact convex sets.
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