In mathematics, a diffeomorphism is an isomorphism of smooth manifolds. It is an invertible function that maps one differentiable manifold to another, such that both the function and its inverse are smooth. == Definition == Given two manifolds M and N, a differentiable map f : M → N is called a diffeomorphism if it is a bijection and its inverse...
An operation that moves the points of space around, preserving only those relationships between them that are used to define which points are near to one another.
a differentiable homeomorphism.