### Abstract

Original language | English |
---|---|

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

*Proceedings of the American Mathematical Society*,

*115*(3), 865-871.

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*Proceedings of the American Mathematical Society*, vol. 115, no. 3, pp. 865-871.

**A note on determinacy.** / Bruce, J.W.; Ruas, M.A.S.; Saia, M.J.

Research output: Contribution to journal › Article

TY - JOUR

T1 - A note on determinacy

AU - Bruce, J.W.

AU - Ruas, M.A.S.

AU - Saia, M.J.

PY - 1992

Y1 - 1992

N2 - 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).

AB - 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).

M3 - Article

VL - 115

SP - 865

EP - 871

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 3

ER -