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Generalization of topological interior

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dbo:description
  • mathematischer Begriff (de)
  • Generalization of topological interior (en)
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  • Here "+" denotes Minkowski sum. * for general sets. They are equal if both are also convex. * If are convex and relatively open sets, then is convex and relatively open. (en)
  • Here denotes positive cone. That is, . * . They are equal if is convex. (en)
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  • Theorem (en)
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  • Since we can always go down to the affine span of , WLOG, the relative interior has dimension . Now let . (en)
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  • Proof (en)
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dct:subject
rdfs:label
  • Relative interior (en)
  • Relativ innerer Punkt (de)
  • Intérieur relatif (fr)
  • 相対的内部 (ja)
  • Относительная внутренность (ru)
  • Відносна внутрішність (uk)
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