Le cocycle du verger

dc.creatorBacher, Roland
dc.date2003-12-03
dc.date.accessioned2026-07-07T05:03:31Z
dc.date.available2026-07-07T05:03:31Z
dc.descriptionWe define and prove uniqueness of a natural homomorphism (called the Orchard morphism) from some groups associated naturally to a finite set $E$ to the group ${\mathcal E}(E)$ of two-partitions of $E$ representing equivalence relations having at most two classes on $E$. As an application, given a finite generic configuration ${\mathcal C}\subset {\mathbf R}^d$, we exhibit a natural partition of ${\mathcal C}$ in two sets.
dc.descriptionIn french, to appear in Comptes rendus de l'Academie des Sciences
dc.identifierhttps://arxiv.org/abs/math/0312079
dc.identifierhttp://arxiv.org/abs/math/0312079
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69450
dc.subjectCombinatorics
dc.subjectGroup Theory
dc.subject05C25, 52C35
dc.titleLe cocycle du verger
dc.typetext

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