Algebraic approximation of analytic sets definable in an o-minimal structure

Marcin Bilski, and Kamil Rusek. "Algebraic approximation of analytic sets definable in an o-minimal structure." Annales Polonici Mathematici 97.2 (2010): 185-200. <http://eudml.org/doc/280359>.

@article{MarcinBilski2010,
abstract = {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.},
author = {Marcin Bilski, Kamil Rusek},
journal = {Annales Polonici Mathematici},
keywords = {o-minimal structure; K-analytic set; K-Nash set},
language = {eng},
number = {2},
pages = {185-200},
title = {Algebraic approximation of analytic sets definable in an o-minimal structure},
url = {http://eudml.org/doc/280359},
volume = {97},
year = {2010},
}

TY - JOUR
AU - Marcin Bilski
AU - Kamil Rusek
TI - Algebraic approximation of analytic sets definable in an o-minimal structure
JO - Annales Polonici Mathematici
PY - 2010
VL - 97
IS - 2
SP - 185
EP - 200
AB - 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.
LA - eng
KW - o-minimal structure; K-analytic set; K-Nash set
UR - http://eudml.org/doc/280359
ER -