Sublinear and continuous order-preserving functions for noncomplete preorders
General Topology
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0204101,
title = {Sublinear and continuous order-preserving functions for noncomplete preorders},
author = {Gianni Bosi and Magali E. Zuanon},
journal= {arXiv preprint arXiv:math/0204101},
year = {2007}
}
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8 pages