A note on determinacy

J.W. Bruce, M.A.S. Ruas, M.J. Saia

Research output: Contribution to journalArticle

3 Citations (Scopus)

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 languageEnglish
Pages (from-to)865-871
JournalProceedings of the American Mathematical Society
Volume115
Issue number3
Publication statusPublished - 1992

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Determinacy
Sufficient
Non-contact
Codimension
Equivalence
Target
Integer

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.
Bruce, J.W. ; Ruas, M.A.S. ; Saia, M.J. / A note on determinacy. In: Proceedings of the American Mathematical Society. 1992 ; Vol. 115, No. 3. pp. 865-871.
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Bruce, JW, Ruas, MAS & Saia, MJ 1992, 'A note on determinacy', 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.

In: Proceedings of the American Mathematical Society, Vol. 115, No. 3, 1992, p. 865-871.

Research output: Contribution to journalArticle

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

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Bruce JW, Ruas MAS, Saia MJ. A note on determinacy. Proceedings of the American Mathematical Society. 1992;115(3):865-871.