Immersions of manifolds
- Author(s): Hirsch, MW
- et al.
Published Web Locationhttps://doi.org/10.1090/S0002-9947-1959-0119214-4
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.