TECHNICAL REPORT ARCHIVE


A Helly-type theorem for higher-dimensional transversals

TR-CIS-2000-07
Boris Aronov, Jacob E. Goodman, Richard Pollack

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Abstract:
We generalize the Hadwiger(-Danzer-Grüaut;unbaum-Klee)theorem on line transversals for an unbounded family of compact convex sets to the case of transversal planes of arbitrary dimension. This is the rst Helly-type theorem known for transversals of dimension between 1 and d.

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