The Classifying Spaces for Surgery and Cobordism of Manifolds

The Classifying Spaces for Surgery and Cobordism of Manifolds - Annals of Mathematics Studies

Hardback (01 Jul 1992)

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Publisher's Synopsis

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.

Book information

ISBN: 9780691082257
Publisher: Princeton University Press
Imprint: Princeton University Press
Pub date:
DEWEY: 514.223
DEWEY edition: 18
Language: English
Number of pages: 279
Weight: 592g
Height: 230mm
Width: 161mm
Spine width: 24mm