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On some applications of a theorem of Browder–Levine–Livesay

Published online by Cambridge University Press:  24 October 2008

G. A. Swarup  and
K. Varadarajan
G. A. Swarup
Affiliation:
Tata Institute of Fundamental Research, Bombay, India
K. Varadarajan
Affiliation:
Tata Institute of Fundamental Research, Bombay, India
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Extract

The main result proved in this paper can be stated as follows:

Theorem. Let Mnbe a closed l-connected topological manifold of dimension n ≥ 5. Then M × R carries a differentiable (respectively aPL) structure if and only if M × S1carries a differentiable (respectively aPL) structure.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 66 , Issue 3 , November 1969 , pp. 517 - 519
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

REFERENCES

(1)Browder, W.S structures on M × R. Proc. Cambridge Philos. Soc. 61 (1965), 337–345.CrossRefGoogle Scholar
(2)Browder, W., Levine, J. and Livesay, G. R.Finding a boundary for an open manifold. Amer. J. Math. 87 (1965), 1017–1028.CrossRefGoogle Scholar
(3)Kervaire, M. A.Theorem of Barden, Mazur and Stallings. Comm. Math. Helv. 40 (1965), 31–42.CrossRefGoogle Scholar