Reduction of semialgebraic constructible functions

• Autorzy: Ludwig Bröcker
• Języki publikacji: EN

Abstrakty

EN

Let R be a real closed field with a real valuation v. A ℤ-valued semialgebraic function on Rⁿ is called algebraic if it can be written as the sign of a symmetric bilinear form over R[X₁,. .., Xₙ]. We show that the reduction of such a function with respect to v is again algebraic on the residue field. This implies a corresponding result for limits of algebraic functions in definable families.

Kategorie tematyczne

• 12J25: Non-Archimedean valued fields
• 28A25: Integration with respect to measures and other set functions
• 14P10: Semialgebraic sets and related spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2005
• Tom: 87
• Numer: 1
• Strony: 27-38

Daty

wydano

2005

Twórcy

autor

Ludwig Bröcker

• Mathematisches Institut, Einsteinstraße 62, D-48149 Münster, Germany

Identyfikatory

DOI

10.4064/ap87-0-3