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

D\'eborah Oliveros; Hector Ba\~nos

arxiv: 1708.02185 · v2 · pith:2W3AHJPInew · submitted 2017-08-07 · 🧮 math.CO

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

Hector Ba\~nos , D\'eborah Oliveros This is my paper

classification 🧮 math.CO

keywords boxesboxicityspaceambientdanzerdefinitiondimensiondimensional

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By extending the definition of boxicity, we extend a Helly-type result given by Danzer and Grumbaum on 2-piercings of family of boxes in $d$-dimensional Euclidian space by lowering the dimension of the boxes in the ambient space.

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

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