Finite determination on algebraic sets

Kushner, L.

doi:10.1090/S0002-9947-1992-1028759-3

Finite determination on algebraic sets
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Trans. Amer. Math. Soc. 331 (1992), 553-561 Request permission

Abstract:

The concept of finite relative determination was introduced by Porto and Loibel $[\text {P-L}]$ in 1978 and it deals with subspaces of ${{\mathbf {R}}^n}$. In this paper we generalize this concept for algebraic sets, and relate it with finite determination on the right. We finish with an observation between Lojasiewicz ideals and finite relative determination.

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Finitely determined map germs

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