Geometry of singular sets

J.W. Bruce

    Research output: Contribution to journalArticle

    5 Citations (Scopus)

    Abstract

    Singularity theory is concerned with the study of smooth mappings between smooth manifolds. Given two such manifolds X and Y and a pair of smooth mappings f1,f2: X→Y we say that f1 and f2 are -equivalent if there are diffeomorphisms α: X→X and β: Y→Y with βof1oα = f2. Clearly -equivalence is an equivalence relation, and one aims to classify smooth mappings f: X→Y up to this equivalence.
    Original languageEnglish
    Pages (from-to)495-509
    JournalMathematical Proceedings of the Cambridge Philosophical Society
    Volume106
    Issue number3
    DOIs
    Publication statusPublished - 1989

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