Immersions of Manifoldsc)

  title={Immersions of Manifoldsc)},
  author={Morris W. Hirsch},
Let M and N be differentiable manifolds of dimensions k and n respectively, k<n. A differentiable map/: M^>N is called an immersion if / is of class C1 and the Jacobian matrix of/ has rank k at each point of M. Such a map is also called regular. Until recently, very little was known about the existence and classification of immersions of one manifold in another. The present work addresses itself to this problem and reduces it to the problem of constructing and classifying cross-sections of… CONTINUE READING
Highly Cited
This paper has 41 citations. REVIEW CITATIONS