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A comment on the Novikov conjecture

Authors: Jerome Kaminker and John G. Miller
Journal: Proc. Amer. Math. Soc. 83 (1981), 656-658
MSC: Primary 57R67; Secondary 55R40
MathSciNet review: 627714
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Abstract: It is shown that the Novikov conjecture on the homotopy invariance of characteristic numbers of nonsimply connected manifolds is equivalent to the injectivity of Wall's map from homology of groups to the surgery obstruction groups. These statements are then shown to be equivalent to their analogs for rational equivalences of rational homology manifolds.

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Article copyright: © Copyright 1981 American Mathematical Society