Immersions of Manifolds
- Author(s): Hirsch, Morris W
- et al.
Published Web Locationhttp://www.ams.org/journals/tran/1959-093-02/
Immersions of an m-manifold in an n-manifold, n>m, are classified up to regular homotopy by the homotopy classes of sections of a vector bundle E associated to the tangent bundle of M. When N = Rn , the fibre of E is the Stiefel manifold of m-frames in n-space.