To do that, Nash, on a wager, disposed of a deep problem that had baffled the profession since the 19 th  He showed that any Riemannian manifold possessing a special kind of smoothness can be embedded in Euclidean space.
Others in the profession were very pleased with what Nash discovered about Euclidean space. 
mnli hypothesis: Others in the profession were very pleased with what Nash discovered about Euclidean space.  premise: To do that, Nash, on a wager, disposed of a deep problem that had baffled the profession since the 19 th  He showed that any Riemannian manifold possessing a special kind of smoothness can be embedded in Euclidean space.