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A Note on the Dubois-Efroymson Dimension Theorem
Published online by Cambridge University Press: 20 November 2018
Abstract
Let X ⊂ Rnn be an irreducible nonsingular algebraic set and let Z be an algebraic subset of X with dim Z ≦ dim X — 2. In this paper it is shown that there exists an irreducible algebraic subset Y of X satisfying the following conditions: dim Y = dim X — 1, Z ⊂ Y and that the ideal of regular functions on X vanishing on Y is principal.
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- Copyright © Canadian Mathematical Society 1989
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