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Bundle structures on manifolds

Published online by Cambridge University Press:  24 October 2008

J. B. Wagoner
J. B. Wagoner
Affiliation:
Department of Mathematics, Fine Hall, Princeton University, Princeton, N.J., U.S.A.
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Extract

This note gives homotopy-theoretic criteria in the metastable range for an (n + l)-manifold with boundary to be diffeomorphic to the total space of an l-disc bundle over a closed n-manifold and for two such structures to be equivalent. The results are similar to some theorems of (8) and the main technique used in the proofs is surgery on a map ((l), pp. 42–46, (7), (10)). All manifolds will be smooth.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 62 , Issue 1 , January 1966 , pp. 19 - 22
Copyright
Copyright © Cambridge Philosophical Society 1966

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References

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