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A note on the intersection property for flat boxes and boxicity in $${\mathbb{R}^{d}}$$Rd

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By extending the definition of boxicity, we extend a Hellytype result given by Danzer and Grünbaum on 2-piercings of families of boxes in d-dimensional Euclidean space by lowering the dimension… Click to show full abstract

By extending the definition of boxicity, we extend a Hellytype result given by Danzer and Grünbaum on 2-piercings of families of boxes in d-dimensional Euclidean space by lowering the dimension of the boxes in the ambient space.

Keywords: boxes boxicity; property flat; flat boxes; boxicity; intersection property; note intersection

Journal Title: Acta Mathematica Hungarica
Year Published: 2017

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