On real simple singularities

Author:

Bruce J. W.,Giblin P. J.

Abstract

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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference6 articles.

1. Normal forms for functions near degenerate critical points, the Weyl groups Ak, Dk, Ek and Lagrangian singularities;Arnol'd;Functional Anal. Appl,1972

2. A stratification of the space of plane quartic curves;Bruce;Proc. London Math. Soc

3. Real analytic germs and their varieties at isolated singularities

4. Differentiable Germs and Catastrophes

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