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

• Autorzy: Marcin Bilski , Kamil Rusek
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 14P99: None of the above, but in this section
• 03C64: Model theory of ordered structures; o-minimality

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2010
• Tom: 97
• Numer: 2
• Strony: 185-200

Daty

wydano

2010

Twórcy

autor

Marcin Bilski

• Institute of Mathematics, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland

autor

Kamil Rusek

• Institute of Mathematics, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland

Identyfikatory

DOI

10.4064/ap97-2-7