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

Volume 97 / 2010

Marcin Bilski, Kamil Rusek Annales Polonici Mathematici 97 (2010), 185-200 MSC: 03C64, 14P99. DOI: 10.4064/ap97-2-7

Abstract

Let 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.

Authors

  • Marcin BilskiInstitute of Mathematics
    Jagiellonian University
    Łojasiewicza 6
    30-348 Kraków, Poland
    e-mail
  • Kamil RusekInstitute of Mathematics
    Jagiellonian University
    Łojasiewicza 6
    30-348 Kraków, Poland
    e-mail

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