Soit un ensemble analytique de dimension pure tel que la projection est surjective et propre, où U est un domaine de Runge. Nous démontrons que X est approchable par des ensembles de Nash.
Let X be an analytic subset of of pure dimension such that the projection is surjective and proper, where U is a Runge domain. We show that X can be approximated by Nash sets.
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@article{CRMATH_2005__341_12_747_0, author = {Bilski, Marcin}, title = {Approximation of analytic sets with proper projection by {Nash} sets}, journal = {Comptes Rendus. Math\'ematique}, pages = {747--750}, publisher = {Elsevier}, volume = {341}, number = {12}, year = {2005}, doi = {10.1016/j.crma.2005.10.016}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.crma.2005.10.016/} }
TY - JOUR AU - Bilski, Marcin TI - Approximation of analytic sets with proper projection by Nash sets JO - Comptes Rendus. Mathématique PY - 2005 SP - 747 EP - 750 VL - 341 IS - 12 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2005.10.016/ DO - 10.1016/j.crma.2005.10.016 LA - en ID - CRMATH_2005__341_12_747_0 ER -
%0 Journal Article %A Bilski, Marcin %T Approximation of analytic sets with proper projection by Nash sets %J Comptes Rendus. Mathématique %D 2005 %P 747-750 %V 341 %N 12 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2005.10.016/ %R 10.1016/j.crma.2005.10.016 %G en %F CRMATH_2005__341_12_747_0
Bilski, Marcin. Approximation of analytic sets with proper projection by Nash sets. Comptes Rendus. Mathématique, Tome 341 (2005) no. 12, pp. 747-750. doi : 10.1016/j.crma.2005.10.016. http://www.numdam.org/articles/10.1016/j.crma.2005.10.016/
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