Line transversals to disjoint balls

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dc.creatorBorcea, Ciprian
dc.creatorGoaoc, Xavier
dc.creatorPetitjean, Sylvain
dc.date2006-12-14
dc.date.accessioned2026-07-07T07:34:53Z
dc.date.available2026-07-07T07:34:53Z
dc.descriptionWe prove that the set of directions of lines intersecting three disjoint balls in $R^3$ in a given order is a strictly convex subset of $S^2$. We then generalize this result to $n$ disjoint balls in $R^d$. As a consequence, we can improve upon several old and new results on line transversals to disjoint balls in arbitrary dimension, such as bounds on the number of connected components and Helly-type theorems.
dc.description21 pages, includes figures
dc.identifierhttps://arxiv.org/abs/math/0612418
dc.identifierhttp://arxiv.org/abs/math/0612418
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119928
dc.subjectMetric Geometry
dc.subjectAlgebraic Geometry
dc.subject52A35, 14H50
dc.titleLine transversals to disjoint balls
dc.typetext

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