The clone generated by the median functions

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dc.creatorPinsker, Michael
dc.date2004-01-10
dc.date.accessioned2026-07-07T05:04:28Z
dc.date.available2026-07-07T05:04:28Z
dc.descriptionLet X be a linearly ordered set of arbitrary size (finite or infinite). Natural functions on such a set one can define using the linear order include maximum, minimum and median functions. While it is clear what the clone generated by the maximum or the minimum looks like, this is not obvious for median functions. We show that every clone on X contains either no median function or all median functions, that is, the median functions generate each other.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0401101
dc.identifierhttp://arxiv.org/abs/math/0401101
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69815
dc.subjectRings and Algebras
dc.subjectLogic
dc.subject08A40; 08A05
dc.titleThe clone generated by the median functions
dc.typetext

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