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arXiv 1802.03296math.OC
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点闭凸集是所有有理支撑闭半空间的交

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

Marcel K. de Carli Silva, Levent Tunçel

摘要:

证明了$\mathbb{R}^n$中的每一个点闭凸集都是包含它的所有有理闭半空间的交,推广了作者以前关于紧凸集的一个结果.

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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