### Abstract

In this paper, we present a particularly simple and direct proof that the set of noncontact-sufficient (K-sufficient) germs are of infinite codimension. Our proof gives, for each k, an integer r with the property that almost all r-jets over any k-jet z is K-sufficient. Similar results are obtained for A or right-left equivalence when the source and target dimensions (n, p) are (2, 2) and (2, 3).

Original language | English |
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Pages (from-to) | 865-871 |

Journal | Proceedings of the American Mathematical Society |

Volume | 115 |

Issue number | 3 |

Publication status | Published - 1992 |

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## Cite this

Bruce, J. W., Ruas, M. A. S., & Saia, M. J. (1992). A note on determinacy.

*Proceedings of the American Mathematical Society*,*115*(3), 865-871. http://www.jstor.org/stable/2159239