Abstract
The main result of this chapter is the Nash-Tognoli theorem stating that every compact C ∞ manifold is diffeomorphic to a nonsingular algebraic subset of ℝp, for some p. The proof is contained in Section 1. Section 2 contains some results concerning topological spaces homeomorphic to real algebraic sets.
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© 1998 Springer-Verlag Berlin Heidelberg
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Bochnak, J., Coste, M., Roy, MF. (1998). Algebraic Models of C ∞ Manifolds. In: Real Algebraic Geometry. Ergebnisse der Mathematik und ihrer Grenzgebiete / A Series of Modern Surveys in Mathematics, vol 36. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03718-8_15
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DOI: https://doi.org/10.1007/978-3-662-03718-8_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08429-4
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