KnowraMazur–Ulam theoremLinked fromLinked fromThe 2 pages that link to Mazur–Ulam theorem, each with the reason it gives.All 2Related 2IsometryRelated: It shows that surjective distance preservation forces linear structure up to translation.Banach–Stone theoremRelated: It explains why surjective isometries have affine structure, while Banach–Stone additionally recovers domain topology.