Sublinear and continuous order-preserving functions for noncomplete preorders

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We 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.
8 pages

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General Topology, 28B15, 06A06, 91B16

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http://salesiana.dossiersoluciones.com/handle/123456789/63748

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0204101
 http://arxiv.org/abs/math/0204101
 Proceedings of the Ninth Prague Topological Symposium (Prague, 2001), pp. 1--8, Topology Atlas, Toronto, 2002

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arXiv