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- Convex_metric_space abstract "In mathematics, convex metric spaces are, intuitively, metric spaces with the property any "segment" joining two points in that space has other points in it besides the endpoints. Formally, consider a metric space (X, d) and let x and y be two points in X. A point z in X is said to be between x and y if all three points are distinct, and that is, the triangle inequality becomes an equality. A convex metric space is a metric space (X, d) such that, for any two distinct points x and y in X, there exists a third point z in X lying between x and y.Metric convexity: does not imply convexity in the usual sense for subsets of Euclidean space (see the example of the rational numbers) nor does it imply path-connectedness (see the example of the rational numbers) nor does it imply geodesic convexity for Riemannian manifolds (consider, for example, the Euclidean plane with a closed disc removed).".
- Convex_metric_space thumbnail Convex_metric_illustration2.png?width=300.
- Convex_metric_space wikiPageID "10788068".
- Convex_metric_space wikiPageRevisionID "572874495".
- Convex_metric_space hasPhotoCollection Convex_metric_space.
- Convex_metric_space subject Category:Convex_geometry.
- Convex_metric_space subject Category:Metric_geometry.
- Convex_metric_space comment "In mathematics, convex metric spaces are, intuitively, metric spaces with the property any "segment" joining two points in that space has other points in it besides the endpoints. Formally, consider a metric space (X, d) and let x and y be two points in X. A point z in X is said to be between x and y if all three points are distinct, and that is, the triangle inequality becomes an equality.".
- Convex_metric_space label "Convex metric space".
- Convex_metric_space label "Spazio convesso".
- Convex_metric_space label "Выпуклое метрическое пространство".
- Convex_metric_space sameAs Spazio_convesso.
- Convex_metric_space sameAs m.02qpzwc.
- Convex_metric_space sameAs Q3966092.
- Convex_metric_space sameAs Q3966092.
- Convex_metric_space wasDerivedFrom Convex_metric_space?oldid=572874495.
- Convex_metric_space depiction Convex_metric_illustration2.png.
- Convex_metric_space isPrimaryTopicOf Convex_metric_space.
