Geodesic
A Note on the Dubois-Efroymson Dimension Theorem
Canadian mathematical bulletin, Tome 32 (1989) no. 1, pp. 24-29

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DOI

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.
DOI : 10.4153/CMB-1989-004-0
Mots-clés : 14G30, 14J99 
Kucharz, Wojciech. A Note on the Dubois-Efroymson Dimension Theorem. Canadian mathematical bulletin, Tome 32 (1989) no. 1, pp. 24-29. doi: 10.4153/CMB-1989-004-0
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     title = {A {Note} on the {Dubois-Efroymson} {Dimension} {Theorem}},
     journal = {Canadian mathematical bulletin},
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     year = {1989},
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     number = {1},
     doi = {10.4153/CMB-1989-004-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-004-0/}
}
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