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Classifying Spaces for Surgery and Corbordism of Manifolds
Paperback
Series: Annals of Mathematics Studies, Book 92
ISBN13: 9780691082264
Publisher: Princeton University Press
Published: Nov 21 1979
Pages: 296
Weight: 1.03
Height: 0.75 Width: 7.06 Depth: 8.46
Language: English
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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