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    • Semicontinuous planar total preorders on non-separable metric spaces 

      Campión Arrastia, María Jesús Upna; Candeal, Juan Carlos; Induráin Eraso, Esteban Upna (The Korean Mathematical Society, 2009)   Artículo / Artikulua  OpenAccess
      We 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.