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- W2012314757 abstract "In this paper, we study the number of compact sets needed in an infinite family of convex sets with a local intersection structure to imply a bound on its piercing number, answering a conjecture of Erd?s and Grunbaum. Namely, if in an infinite family of convex sets in $$mathbb {R}^d$$Rd we know that out of every $$p$$p there are $$q$$q which are intersecting, we determine if having some compact sets implies a bound on the number of points needed to intersect the whole family. We also study variations of this problem." @default.
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- W2012314757 date "2015-02-04" @default.
- W2012314757 modified "2023-10-03" @default.
- W2012314757 title "About an Erdős–Grünbaum Conjecture Concerning Piercing of Non-bounded Convex Sets" @default.
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- W2012314757 doi "https://doi.org/10.1007/s00454-015-9664-3" @default.
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