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Immersions of Manifolds

  • Author(s): Hirsch, Morris W
  • et al.

Published Web Location

http://www.ams.org/journals/tran/1959-093-02/
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Abstract

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.

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