Pushing disks apart - The Kneser-Poulsen conjecture in the plane

Simple item page
dc.creatorBezdek, Károly
dc.creatorConnelly, Robert
dc.date2001-08-14
dc.date.accessioned2026-07-07T04:42:58Z
dc.date.available2026-07-07T04:42:58Z
dc.descriptionWe give a proof of the planar case of a longstanding conjecture of Kneser (1955) and Poulsen (1954). In fact, we prove more by showing that if a finite set of disks in the plane is rearranged so that the distance between each pair of centers does not decrease, then the area of the union does not decrease, and the area of the intersection does not increase.
dc.description12 pages, 3 figures, AMS TeX
dc.identifierhttps://arxiv.org/abs/math/0108098
dc.identifierhttp://arxiv.org/abs/math/0108098
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62015
dc.subjectMetric Geometry
dc.subject52A10, 52A40
dc.titlePushing disks apart - The Kneser-Poulsen conjecture in the plane
dc.typetext

Files

Collections

arXiv