Construction of o-minimal structures from quasianalytic classes
Speaker:
Jean-Philippe Rolin, Universite de Bourgogne and Université de Bourgogne
Date and Time:
Wednesday, March 4, 2009 - 10:30am to 12:00pm
Location:
Fields Institute, Room 230
Abstract:
In a first part, we recall the definition of quasianalytic algebras of functions or germs of functions and give several examples of such algebras. Then we prove that convenient quasianalytic algebras generate o-minimal expansions of the real field. One important ingredient of the proof is the technique of resolution of singularities as discussed by Edward Bierstone in his course.