A half-space approach to order dimension

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dc.creatorFoldes, Stephan
dc.creatorSzigeti, Jeno
dc.date2007-02-17
dc.date.accessioned2026-07-07T12:42:21Z
dc.date.available2026-07-07T12:42:21Z
dc.descriptionThe aim of the present paper is to investigate the half-spaces in the convexity structure of all quasiorders on a given set and to use them in an alternative approach to classical order dimension. The main result states that linear orders can almost always be replaced by half-space quasiorders in the definition of the dimension of a partially ordered set.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0702509
dc.identifierhttp://arxiv.org/abs/math/0702509
dc.identifierOrder 24 (2007) 59-73
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220050
dc.subjectCombinatorics
dc.subjectGeneral Mathematics
dc.subject06A06, 06A07, 06A10 and 52A01
dc.titleA half-space approach to order dimension
dc.typetext

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