Algebraic approximation of analytic sets definable in an o-minimal structure
Marcin Bilski ; Kamil Rusek
Annales Polonici Mathematici, Tome 98 (2010), p. 185-200 / Harvested from The Polish Digital Mathematics Library
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Let K,R be an algebraically closed field (of characteristic zero) and a real closed field respectively with K=R(√(-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.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:280359 
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Marcin Bilski; Kamil Rusek. Algebraic approximation of analytic sets definable in an o-minimal structure. Annales Polonici Mathematici, Tome 98 (2010) pp. 185-200. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap97-2-7/