On the classification of locally compact separable metric spaces
Gary Huckabay (1977)
Fundamenta Mathematicae
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Displaying similar documents to “A universal separable metric locally finite-dimensional space”
On the classification of locally compact separable metric spaces
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The Urysohn space is a separable complete metric space with two fundamental properties: (a) universality: every separable metric space can be isometrically embedded in it; (b) ultrahomogeneity: every finite isometry between two finite subspaces can be extended to an auto-isometry of the whole space. The Urysohn space is uniquely determined up to isometry within separable metric spaces by these two properties. We introduce an analogue of the Urysohn space for diversities, a recently developed...
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