### 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 language | English |
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Pages (from-to) | 495-509 |

Journal | Mathematical Proceedings of the Cambridge Philosophical Society |

Volume | 106 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1989 |

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## Cite this

Bruce, J. W. (1989). Geometry of singular sets.

*Mathematical Proceedings of the Cambridge Philosophical Society*,*106*(3), 495-509. https://doi.org/10.1017/S0305004100068237