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- Generalised_metric abstract "In mathematics, the concept of a generalised metric is a generalisation of that of a metric, in which the distance is not a real number but taken from an arbitrary ordered field.In general, when we define metric space the distance function is taken to be a real-valued function. The real numbers form an ordered field which is Archimedean and order complete. These metric spaces have some nice properties like: in a metric space compactness, sequential compactness and countable compactness are equivalent etc. These properties may not, however, hold so easily if the distance function is taken in an arbitrary ordered field, instead of in .".
- Generalised_metric wikiPageExternalLink sici?sici=0002-9939(197303)38%3A1%3C211%3AASOMNS%3E2.0.CO%3B2-8.
- Generalised_metric wikiPageExternalLink 011814.html.
- Generalised_metric wikiPageID "13403260".
- Generalised_metric wikiPageRevisionID "561585526".
- Generalised_metric hasPhotoCollection Generalised_metric.
- Generalised_metric subject Category:Metric_geometry.
- Generalised_metric subject Category:Norms_(mathematics).
- Generalised_metric subject Category:Topology.
- Generalised_metric comment "In mathematics, the concept of a generalised metric is a generalisation of that of a metric, in which the distance is not a real number but taken from an arbitrary ordered field.In general, when we define metric space the distance function is taken to be a real-valued function. The real numbers form an ordered field which is Archimedean and order complete.".
- Generalised_metric label "Generalised metric".
- Generalised_metric sameAs m.03c465z.
- Generalised_metric sameAs Q5532413.
- Generalised_metric sameAs Q5532413.
- Generalised_metric wasDerivedFrom Generalised_metric?oldid=561585526.
- Generalised_metric isPrimaryTopicOf Generalised_metric.