Geodesic
A note on global Nash subvarieties and Artin-Mazur theorem
Bollettino della Unione matematica italiana, Série 8, 7B (2004) no. 2, pp. 425-431.

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It is shown that every connected global Nash subvariety of $\mathbb{R}^{n}$ is Nash isomorphic to a connected component of an algebraic variety that, in the compact case, can be chosen with only two connected components arbitrarily near each other. Some examples which state the limits of the given results and of the used tools are provided.
Si prova che ogni sottospazio di Nash connesso di $\mathbb{R}^{n}$ che abbia equazioni globali è Nash isomorfo ad una componente connessa di una varietà algebrica che, nel caso compatto, può essere scelta con due sole componenti connesse arbitrariamente vicine. Alcuni esempi illustrano i limiti dei risultati ottenuti e degli strumenti utilizzati. 
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Tancredi, Alessandro; Tognoli, Alberto. A note on global Nash subvarieties and Artin-Mazur theorem. Bollettino della Unione matematica italiana, Série 8, 7B (2004) no. 2, pp. 425-431. http://geodesic.mathdoc.fr/item/BUMI_2004_8_7B_2_a9/

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