The Urysohn Universal Space and Hyperconvexity
نویسنده
چکیده
In a paper published posthumously, Pavel Samuilovich Urysohn constructed a complete, separable metric space that contains an isometric copy of every complete separable metric space. In this paper we prove that the Urysohn univeral space is hyperconvex.
منابع مشابه
The Urysohn universal metric space and hyperconvexity
In this paper we prove that Urysohn univeral space is hyperconvex. We also examine the Gromov hyperbolicity and hyperconvexity of metric spaces. Using fourpoint property, we give a proof of the fact that hyperconvex hull of a δ-Gromov hyperbolic space is also δ-Gromov hyperbolic.
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