A Universal Separable Diversity

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....

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Bibliographic Details
Main Authors: Bryant David, Nies André, Tupper Paul
Format: Article
Language:English
Published: De Gruyter 2017-12-01
Series:Analysis and Geometry in Metric Spaces
Subjects:
Online Access:http://www.degruyter.com/view/j/agms.2017.5.issue-1/agms-2017-0008/agms-2017-0008.xml?format=INT