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Generalized Erdős–Grünbaum conjecture on piercing unbounded convex families
Generalized Erdős–Grünbaum conjecture. The family should satisfy
Conjecturerefutedconvex-geometry helly-theory piercingarXiv posted 2 days ago
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Erdős–Grünbaum's piercing conjecture for convex sets in the plane
Erdős–Grünbaum's conjecture. There is a constant $n$ such that every such family has a piercing set consisting of $n$ points.
Conjecturerefutedconvex-geometry helly-theory piercingarXiv posted 2 days ago

Generalized Erdős–Grünbaum conjecture on piercing unbounded convex families