On approximation of smooth submanifolds by nonsingular real algebraic subvarieties
Jacek Bochnak, Wojciech Kucharz (2003)
Annales scientifiques de l'École Normale Supérieure
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Displaying similar documents to “Every connected sum of lens spaces is a real component of a uniruled algebraic variety”
On approximation of smooth submanifolds by nonsingular real algebraic subvarieties
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We study the problem of approximating, up to homotopy, compact topological manifolds by real algebraic varieties. As a consequence, we realize any integral non-degenerate quadratic form as the intersection form of a real algebraic variety. This is related to a well-known result, due to Freedman [F], on the topology of closed simply-connected topological -manifolds.