대한수학회지 (Journal of the Korean Mathematical Society)

  • 제46권4호
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  • Pages.701-711
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  • 2009
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지
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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)
  • 발행 : 2009.07.01
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초록

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.

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참고문헌

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피인용 문헌

  1. Continuous Representability of Interval Orders: The Topological Compatibility Setting vol.23, pp.03, 2015, https://doi.org/10.1142/s0218488515500142
  2. CONTINUOUS ORDER REPRESENTABILITY PROPERTIES OF TOPOLOGICAL SPACES AND ALGEBRAIC STRUCTURES vol.49, pp.3, 2012, https://doi.org/10.4134/JKMS.2012.49.3.449