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On sunny collapsing

Published online by Cambridge University Press:  24 October 2008

J. F. P. Hudson
J. F. P. Hudson
Affiliation:
Department of Pure Mathematics, Cambridge
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Extract

The technique of sunny collapsing was introduced by Zeeman in (1) in order to prove the unknotting of PL ball pairs with co-dimension ≥ 3. Since then the technique has been used a number of times. In each case the method was used to prove special cases of the Theorem in this paper. Apart from providing a more unified treatment of various applications of this one technique, the theorem has important applications to the theory of relative regular neighbourhoods.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 66 , Issue 2 , September 1969 , pp. 247 - 250
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

REFERENCES

(1)Zeeman, E. C.Unknotting combinatorial balls. Ann. of Math. 78 (1963), 501–526.CrossRefGoogle Scholar
(2)Hudson, J. F. P. and Lickorish, W. B. R. Extending PL concordances (to appear).Google Scholar
(3)Hudson, J. F. P. and Zeeman, E. C.Regular neighbourhoods. Proc. London Math. Soc. (3) 14 (1964), 719–745.CrossRefGoogle Scholar
(4)Hudson, J. F. P. and Zeeman, E. C. Correction to On Regular neighbourhoods (to appear).Google Scholar