2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63038Necessary and sufficient quantitative geometric conditions are given for an unbounded set A in a euclidean space R^n to have the following property with a given c > 0: For every s > 0 and for every s-nearisometry f: A -> R^n there is an isometry T: A -> R^n such that |Tx - fx| \le cs for all x in A.15 pagesFunctional Analysis46C05; 46B20text