Geodesic
Topological manifolds and real algebraic geometry
Bollettino della Unione matematica italiana, Série 8, 6B (2003) no. 3, pp. 545-555 Cet article a éte moissonné depuis la source Biblioteca Digitale Italiana di Matematica

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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 $4$-manifolds. 
@article{BUMI_2003_8_6B_3_a2,
     author = {Tognoli, Alberto},
     title = {Topological manifolds and real algebraic geometry},
     journal = {Bollettino della Unione matematica italiana},
     pages = {545--555},
     year = {2003},
     volume = {Ser. 8, 6B},
     number = {3},
     zbl = {1178.57019},
     mrnumber = {MR2014817},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2003_8_6B_3_a2/}
}
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Tognoli, Alberto. Topological manifolds and real algebraic geometry. Bollettino della Unione matematica italiana, Série 8, 6B (2003) no. 3, pp. 545-555. http://geodesic.mathdoc.fr/item/BUMI_2003_8_6B_3_a2/