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- Metric_map abstract "In the mathematical theory of metric spaces, a metric map is a function between metric spaces that does not increase any distance (such functions are always continuous).These maps are the morphisms in the category of metric spaces, Met (Isbell 1964).They are also called Lipschitz functions with Lipschitz constant 1, nonexpansive maps, nonexpanding maps, weak contractions, or short maps.Specifically, suppose that X and Y are metric spaces and ƒ is a function from X to Y. Thus we have a metric map when, for any points x and y in X, Here dX and dY denote the metrics on X and Y respectively.".
- Metric_map wikiPageExternalLink GDZPPN002058340.
- Metric_map wikiPageID "469760".
- Metric_map wikiPageRevisionID "587183770".
- Metric_map hasPhotoCollection Metric_map.
- Metric_map subject Category:Lipschitz_maps.
- Metric_map subject Category:Metric_geometry.
- Metric_map type Artifact100021939.
- Metric_map type Creation103129123.
- Metric_map type LipschitzMaps.
- Metric_map type Map103720163.
- Metric_map type Object100002684.
- Metric_map type PhysicalEntity100001930.
- Metric_map type Representation104076846.
- Metric_map type Whole100003553.
- Metric_map comment "In the mathematical theory of metric spaces, a metric map is a function between metric spaces that does not increase any distance (such functions are always continuous).These maps are the morphisms in the category of metric spaces, Met (Isbell 1964).They are also called Lipschitz functions with Lipschitz constant 1, nonexpansive maps, nonexpanding maps, weak contractions, or short maps.Specifically, suppose that X and Y are metric spaces and ƒ is a function from X to Y.".
- Metric_map label "Application non expansive".
- Metric_map label "Función corta".
- Metric_map label "Funzione non espansiva".
- Metric_map label "Função não expansiva".
- Metric_map label "Metric map".
- Metric_map label "Odwzorowanie nierozszerzające".
- Metric_map label "Короткое отображение".
- Metric_map sameAs Función_corta.
- Metric_map sameAs Application_non_expansive.
- Metric_map sameAs Funzione_non_espansiva.
- Metric_map sameAs Odwzorowanie_nierozszerzające.
- Metric_map sameAs Função_não_expansiva.
- Metric_map sameAs m.02db36.
- Metric_map sameAs Q2713824.
- Metric_map sameAs Q2713824.
- Metric_map sameAs Metric_map.
- Metric_map wasDerivedFrom Metric_map?oldid=587183770.
- Metric_map isPrimaryTopicOf Metric_map.