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Extension and reconstruction theorems for the Urysohn universal metric space
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SYSNO ASEP 0340550 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Extension and reconstruction theorems for the Urysohn universal metric space Author(s) Kubiś, Wieslaw (MU-W) RID, ORCID, SAI
Rubin, M. (IL)Source Title Czechoslovak Mathematical Journal. - : Springer - ISSN 0011-4642
Roč. 60, č. 1 (2010), s. 1-29Number of pages 29 s. Language eng - English Country CZ - Czech Republic Keywords Urysohn space ; bilipschitz homeomorphism ; modulus of continuity ; reconstruction theorem ; extension theorem Subject RIV BA - General Mathematics R&D Projects IAA100190901 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000274845800001 EID SCOPUS 77950404527 DOI 10.1007/s10587-010-0001-y Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2010
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