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MORSE HOMOLOGY ON NONCOMPACT MANIFOLDS

  • Cieliebak, Kai (Ludwig-Maximilians-Universitat) ;
  • Frauenfelder, Urs (Department of Mathematics and Research Institute of Mathematics Seoul National University)
  • Received : 2009.12.11
  • Published : 2011.07.01

Abstract

Given a Morse function on a manifold whose moduli spaces of gradient flow lines for each action window are compact up to breaking one gets a bidirect system of chain complexes. There are different possibilities to take limits of such a bidirect system. We discuss in this note the relation between these different limits.

Keywords

References

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