Pointed Closed Convex Sets are the Intersection of All Rational Supporting Closed Halfspaces

  • Marcel K. de Carli Silva
  • Levent Tunçel
    • Categories Convex and Nonsmooth Optimization, Integer Programming Tags , Short URL: https://optimization-online.org/?p=15032

    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.

    Citation

    arXiv:1802.03296. February 2018

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