Keller's Conjecture on the Existence of Columns in Cube Tilings of R^n

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dc.creatorŁysakowska, Magdalena
dc.creatorPrzesławski, Krzysztof
dc.date2008-09-11
dc.date.accessioned2026-07-07T10:02:14Z
dc.date.available2026-07-07T10:02:14Z
dc.descriptionIt is shown that if n<7, then each tiling of R^n by translates of the unit cube [0,1)^n contains a column; that is, a family of the form {[0,1)^n+(s+ke_i): k \in Z}, where s \in R^n, e_i is an element of the standard basis of R^n and Z is the set of integers.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/0809.1960
dc.identifierhttp://arxiv.org/abs/0809.1960
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168902
dc.subjectCombinatorics
dc.subjectMetric Geometry
dc.subject52C22; 05B45
dc.titleKeller's Conjecture on the Existence of Columns in Cube Tilings of R^n
dc.typetext

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