Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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SEMICONTINUOUS PLANAR TOTAL PREORDERS ON NON-SEPARABLE METRIC SPACES

  • Campioon, Marla Jesuus (UNIVERSITY PUBLICA DE NAVARRA DEPARTMENTO DE MATEMATICAS CAMPUS ARROSADIA) ;
  • Candeal, Juan Carlos (UNIVERSIDAD DE ZARAGOZA FACULTAD DE CIENCIAS ECONOMICASY EMPRESARIALES DEPARTAMENTO DE ANALISIS ECONOMICO) ;
  • Indurain, Esteban (UNIVERSIDAD PUBLICA DE NAVARRA DEPARTMENTO DE MATEMATICAS CAMPUS ARROSADIA)
  • Published : 2009.07.01
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Abstract

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.

Keywords

References

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