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No Helly theorem for stabbing translates by lines in R³
 Geom
, 2003
"... For each n > 2 we construct a convex body K R and a nite family F of disjoint translates of K such that any n 1 members F admit a line transversal, but F has no line transversal. ..."
Abstract

Cited by 16 (5 self)
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For each n > 2 we construct a convex body K R and a nite family F of disjoint translates of K such that any n 1 members F admit a line transversal, but F has no line transversal.