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On real simple singularities

Published online by Cambridge University Press:  24 October 2008

J. W. Bruce  and
P. J. Giblin
J. W. Bruce
Affiliation:
University of Liverpool
P. J. Giblin
Affiliation:
University of Liverpool
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Extract

In (3), Cor. 2 to Th. 1, the first author proved that in the complex jet space Jk (n, 1) the orbits of simple singularities form canonical strata. By definition the canonical stratification is contact invariant so the proof consisted essentially of two steps: firstly, any two functions in the same canonical stratum are C0-equivalent by right-left changes of coordinates, and secondly, the right codimension (and hence the Milnor number) of an isolated complex singularity is a topological invariant.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 88 , Issue 2 , September 1980 , pp. 273 - 279
Copyright
Copyright © Cambridge Philosophical Society 1980

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References

REFERENCES

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