In this chapter we analyze the important example of Hurewicz fibrations and prove that the homology of the total space of such a fibration over a manifold can be described in terms of Morse homology with DG coefficients.

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Fibrations

  • Jean-François Barraud,
  • Mihai Damian,
  • Vincent Humilière,
  • Alexandru Oancea

摘要

In this chapter we analyze the important example of Hurewicz fibrations and prove that the homology of the total space of such a fibration over a manifold can be described in terms of Morse homology with DG coefficients.