The Classifying Spaces for Surgery and Cobordism of Manifolds

Released on by Ib Madsen
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  • The Classifying Spaces for Surgery and Cobordism of Manifolds Book Detail

  • Author : Ib Madsen
  • Release Date : 1979-11-21
  • Publisher : Princeton University Press
  • Genre : Mathematics
  • Pages : 300
  • ISBN 13 : 9780691082264
  • File Size : 3,3 MB
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The Classifying Spaces for Surgery and Cobordism of Manifolds by Ib Madsen PDF Summary

Book Description: Beginning with a general discussion of bordism, Professors Madsen and Milgram present the homotopy theory of the surgery classifying spaces and the classifying spaces for the various required bundle theories. The next part covers more recent work on the maps between these spaces and the properties of the PL and Top characteristic classes, and includes integrality theorems for topological and PL manifolds. Later chapters treat the integral cohomology of BPL and Btop. The authors conclude with a discussion of the PL and topological cobordism rings and a construction of the torsion-free generators.

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