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A weak 4-dimensional s-cobordism theorem

Published online by Cambridge University Press:  24 October 2008

C. B. Thomas
C. B. Thomas
Affiliation:
University of Hull
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Extract

In this note we prove a gloss on the usual s-cobordism theorem, which may be of interest, since it holds one dimension lower than the theorem itself. Our result is that every s-cobordism is its own left and right inverse in the groupoid of all h-cobordisms, studied by Stallings in (3).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 67 , Issue 3 , May 1970 , pp. 549 - 551
Copyright
Copyright © Cambridge Philosophical Society 1970

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References

REFERENCES

(1)Kwun, K. W. and Szczarba, R. H.Product and sum theorems for Whitehead torsion. Ann. of Math. 82 (1965), 183–190.CrossRefGoogle Scholar
(2)Munkres, J.Elementary differential topology (Princeton University Press, 1963).CrossRefGoogle Scholar
(3)Stallings, J. R.On infinite processes leading to differentiability in the complement of a point. Morse Symposium (Princeton University Press, 1965).CrossRefGoogle Scholar