On real simple singularities

J.W. Bruce, P.J. Giblin

    Research output: Contribution to journalArticle

    4 Citations (Scopus)

    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.
    Original languageEnglish
    Pages (from-to)273-279
    JournalMathematical Proceedings of the Cambridge Philosophical Society
    Volume88
    Issue number2
    DOIs
    Publication statusPublished - 1980

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