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

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