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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This paper was supported by the Grant IAA 100 190 901 and by the Institutional Research Plan of the Academy of Sciences of Czech Republic No. AVOZ 101 905 03.
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Kubiś, W., Rubin, M. Extension and reconstruction theorems for the Urysohn universal metric space. Czech Math J 60, 1–29 (2010). https://doi.org/10.1007/s10587-010-0001-y
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DOI: https://doi.org/10.1007/s10587-010-0001-y