Surgery and duality

  title={Surgery and duality},
  author={M. Kreck},
  journal={Annals of Mathematics},
  • M. Kreck
  • Published 1999
  • Mathematics
  • Annals of Mathematics
Surgery, as developed by Browder, Kervaire, Milnor, Novikov, Sullivan, Wall and others is a method for comparing homotopy types of topological spaces with difieomorphism or homeomorphism types of manifolds of dimension‚ 5. In this paper, a modiflcation of this theory is presented, where instead of flxing a homotopy type one considers a weaker information. Roughly speaking, one compares n-dimensional compact manifolds with topological spaces whose k-skeletons are flxed, where k is at least [n=2… Expand
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