Semicontinuous planar total preorders on non-separable metric spaces
Fecha
2009Versión
Acceso abierto / Sarbide irekia
Tipo
Artículo / Artikulua
Versión
Versión publicada / Argitaratu den bertsioa
Impacto
|
10.4134/jkms.2009.46.4.701
Resumen
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. ...
[++]
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. [--]
Materias
Real-valued functions,
Metric spaces,
Semicontinuous total preorders,
Representability
Editor
The Korean Mathematical Society
Publicado en
Journal of the Korean Mathematical Society, 46 (2009), No. 4, pp. 701–711
Departamento
Universidad Pública de Navarra. Departamento de Matemáticas /
Nafarroako Unibertsitate Publikoa. Matematika Saila
Versión del editor
Entidades Financiadoras
This work has been supported by the research projects MTM 2006 - 15025 and MTM2007 - 62499, of the Spanish Ministry of Culture.