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A counter-example to the three balls problem

Published online by Cambridge University Press:  24 October 2008

W. B. R. Lickorish
Affiliation:
Pembroke College, Cambridge and Queen Mary College, London
C. P. Rourke
Affiliation:
Pembroke College, Cambridge and Queen Mary College, London

Extract

We work throughout in the p.l. category (see (8)) consisting of polyhedra and p.l. (piecewise linear) maps. We are concerned with the following problem which is of importance in the theory of p.l. transversality.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

REFERENCES

(1)Armstrong, M. A. and Zeeman, E. C.Transversality for piecewise linear manifolds. Topology 8 (1967), 433466.CrossRefGoogle Scholar
(2)Irwin, M. C.Embedding of polyhedral manifolds. Ann. of Math. (2) 82 (1965), 114.CrossRefGoogle Scholar
(3)Lickorish, W. B. R.The piecewise linear unknotting of cones, Topology 4 (1965), 6791.CrossRefGoogle Scholar
(4)Moblet, C.Transversalité des Applications Linéaires par Morceaux, C.R. Acad. Sci. Paris, Sér. A–B. 07 (1966), 118121.Google Scholar
(5)Rourke, C. P. and Sanderson, B. J.Block bundles I. Ann. of Math. (2) 87 (1968), 128.CrossRefGoogle Scholar
(6)Rourke, C. P. and Sanderson, B. J.Block bundles II. Transversality. Ann. of Math (2), 87 (1968), 256278.CrossRefGoogle Scholar
(7)Zeeman, E. C.Relative simplicial approximation. Proc. Cambridge Philos. Soc. 60 (1964), 3943.CrossRefGoogle Scholar
(8)Zeeman, E. C.Seminar on Combinatorial Topology (mimeographed) (Inst. Hautes Etudes Sci., Paris, 19631966).Google Scholar