Rough isometries, and combinatorial approximations of geometries of non ∙ compact riemannian manifolds
Masahiko Kanai · Journal of the Mathematical Society of Japan · 1985
Introduction.Among the most elementary relations in mathematics are the equivalence relations.Especially in geometry, equivalence relations between manifolds are usually defined by the existences of maps satisfying some suitable conditions.An isometry is the most fundamental map of this kind and defines the equiv- alence relation of isometry between riemannian manifolds.Another kind of