Algebraic approximation of analytic sets definable in an o-minimal structure
Volume 97 / 2010
Annales Polonici Mathematici 97 (2010), 185-200
MSC: 03C64, 14P99.
DOI: 10.4064/ap97-2-7
Abstract
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.
