Campión Arrastia, María JesúsCandeal, Juan CarlosInduráin Eraso, Esteban2019-01-222019-01-2220090304-9914 (Print)2234-30008 (Electronic)10.4134/jkms.2009.46.4.701https://academica-e.unavarra.es/handle/2454/32054We prove that every non-separable connected metric space can be endowed with a total preorder that is order-isomorphic to a nonrepresentable subset of the lexicographic plane and semicontinuous with respect to the metric topology.11 p.application/pdfeng© 2009 The Korean Mathematical Society. Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)Real-valued functionsMetric spacesSemicontinuous total preordersRepresentabilityinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccessAcceso abierto / Sarbide irekia