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A counter-example to a conjecture by Deakin

Published online by Cambridge University Press:  17 April 2009

Leif Arkeryd
Leif Arkeryd
Affiliation:
Matematiska Institutionen, Göteborgs Universitet, Göteborg, Sweden.
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Abstract

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Michael A.B. Deakin (Bull. Austral. Math. Soc. 17 (1977), 161–175) states (on p. 173) a conjecture, which, if true, would lead to simpler proofs of a number of known theorems. This conjecture is, however, shown to be false by means of a counter-example.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 18 , Issue 2 , April 1978 , pp. 293 - 294
Copyright
Copyright © Australian Mathematical Society 1978

References

[1]Deakin, Michael A.B., “New proofs of some theorems on infinitely differentiale functions”, Bull. Austral. Math. Soc. 17 (1977), 161–175.CrossRefGoogle Scholar
[2]Zeeman, Christopher, “The classification of elementary catastrophes of codimension ≤ 5”, (notes written and revised by David Trotman), Structural stability, the theory of catastrophes, and applications in the sciences, 263–327 (Proc. Conf. Battelle Seattle Research Center 1975; Lecture Notes in Mathematics, 525. Springer-Verlag, Berlin, Heidelberg, New York, 1976).CrossRefGoogle Scholar