Isometric approximation property of unbounded sets |
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Authors: | Jussi Väisälä |
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Institution: | 1. Matematiikan laitos, Helsingin yliopisto, PL 4, Yliopistonkatu 5, 00014, Helsinki, Finland
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Abstract: | We give a necessary and sufficient quantitative geometric condition for an unbounded set A ? Rn to have the following property with a given c > 0: For every ε ≥ 0 and for every map f: A → Rn such that ![></img> </span>, there is an isometry T: A → R<sup>n</sup> such that ¦Tx?fx¦ ≤ cε for all x ∈ A.</td>
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