Helly family: Difference between revisions

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A [[convex metric|convex]] [[metric space]] in which the closed [[Ball (mathematics)|balls]] have the 2-Helly property (that is, a space with Helly dimension 1) is called [[injective metric space|injective]] or hyperconvex. The existence of the [[tight span]] allows any metric space to be embedded isometrically into a space with Helly dimension 1.
 
== See also ==
* [[Radon's theorem]]
* [[Carathéodory's theorem (convex hull)|Carathéodory's theorem]]
 
==References==