Geodesic
Algebraic approximation of analytic sets definable in an o-minimal structure
Marcin Bilski1 ; Kamil Rusek1
1 Institute of Mathematics Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland
Annales Polonici Mathematici, Tome 97 (2010) no. 2, pp. 185-200.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let $K,R$ be an algebraically closed field (of characteristic zero) and a real closed field respectively with $K=R(\sqrt{-1}).$ We show that every $K$-analytic set definable in an o-minimal expansion of $R$ can be locally approximated by a sequence of $K$-Nash sets.
DOI : 10.4064/ap97-2-7
Keywords: algebraically closed field characteristic zero real closed field respectively sqrt every k analytic set definable o minimal expansion locally approximated sequence k nash sets

Marcin Bilski 1 ; Kamil Rusek 1

1 Institute of Mathematics Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland 
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Marcin Bilski; Kamil Rusek. Algebraic approximation of analytic
 sets definable in an o-minimal structure. Annales Polonici Mathematici, Tome 97 (2010) no. 2, pp. 185-200. doi : 10.4064/ap97-2-7. http://geodesic.mathdoc.fr/articles/10.4064/ap97-2-7/

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