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Morse Theory

  • Morris W. Hirsch
Part of the Graduate Texts in Mathematics book series (GTM, volume 33)

Abstract

Up to this point we have obtained results of a very general nature: all n-manifolds embed in ℝ2n+1, all maps can be approximated by C maps, etc. These are useful tools but they give no hint as to how to analyze a particular manifold, or class of manifolds. As yet we are unable even to classify compact 2-manifolds.

Keywords

Vector Field Compact Manifold Flow Line Euler Characteristic Integral Curve 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York Inc. 1976

Authors and Affiliations

  • Morris W. Hirsch
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA

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