Sublinear and continuous order-preserving functions for noncomplete preorders

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dc.creatorBosi, Gianni
dc.creatorZuanon, Magali E.
dc.date2002-04-09
dc.date.accessioned2026-07-07T04:47:31Z
dc.date.available2026-07-07T04:47:31Z
dc.descriptionWe characterize the existence of a nonnegative, sublinear and continuous order-preserving function for a not necessarily complete preorder on a real convex cone in an arbitrary topological real vector space. As a corollary of the main result, we present necessary and sufficient conditions for the existence of such an order-preserving function for a complete preorder.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/0204101
dc.identifierhttp://arxiv.org/abs/math/0204101
dc.identifierProceedings of the Ninth Prague Topological Symposium (Prague, 2001), pp. 1--8, Topology Atlas, Toronto, 2002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63748
dc.subjectGeneral Topology
dc.subject28B15, 06A06, 91B16
dc.titleSublinear and continuous order-preserving functions for noncomplete preorders
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