Isometric approximation property of unbounded sets
Jussi Vaisala
Abstract
Necessary and sufficient quantitative geometric conditions are given for an unbounded set A in a euclidean space Rn to have the following property with a given c > 0: For every s > 0 and for every s-nearisometry f: A -> Rn there is an isometry T: A -> Rn such that |Tx - fx| cs for all x in A.
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