Extension and reconstruction theorems for the Urysohn universal metric space |
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| Authors: | Wiesław Kubiś Matatyahu Rubin |
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| Affiliation: | 1.Institute of Mathematics,Academy of Sciences of the Czech Republic,Praha 1,Czech Republic;2.Department of Mathematics,Ben Gurion University of the Negev,Be’er Sheva,Israel |
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| Abstract: | We prove some extension theorems involving uniformly continuous maps of the universal Urysohn space. As an application, we prove reconstruction theorems for certain groups of autohomeomorphisms of this space and of its open subsets. |
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