SEMICONTINUOUS PLANAR TOTAL PREORDERS ON NON-SEPARABLE METRIC SPACES

SEMICONTINUOUS PLANAR TOTAL PREORDERS ON NON-SEPARABLE METRIC SPACES

We prove that every non-separable connected metric space can be endowed with a total preorder that is order-isomorphic to a non-representable subset of the lexicographic plane and semicontinuous with respect to the metric topology. KCI Citation Count: 2

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Veröffentlicht in:Journal of the Korean Mathematical Society 2009, 46(4), , pp.701-711
Hauptverfasser: Campioon, Marla Jesuus, Candeal, Juan Carlos, Indurain, Esteban
Format: Artikel
Sprache:eng
Schlagworte:
수학
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Zusammenfassung:We prove that every non-separable connected metric space can be endowed with a total preorder that is order-isomorphic to a non-representable subset of the lexicographic plane and semicontinuous with respect to the metric topology. KCI Citation Count: 2
ISSN:0304-9914
2234-3008
DOI:10.4134/JKMS.2009.46.4.701