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h-cobordisms of pairs

Published online by Cambridge University Press:  24 October 2008

C. McA. Gordon
C. McA. Gordon
Affiliation:
University of Durham
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Extract

Let M and Q be closed manifolds, and write ℝ+ = [0, ∞). Our main result is that, in both the PL and topological categories, M × ℝ+ unknots in Q × ℝ+ in codimension ≥ 3 (see Theorem 1 for a precise statement). The proof is essentially a generalization of Stallings's topological unknotting of spheres(13), the main tool being engulfing.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 68 , Issue 3 , November 1970 , pp. 641 - 652
Copyright
Copyright © Cambridge Philosophical Society 1970

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References

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