An explicit preparation theorem for definable functions in some polynomially bounded o-minimal structures

Seminar series

Logic Seminar

Date

Thu, 24 Feb 2011
17:00

Location

Speaker

Jean-Philippe Rolin

Organisation

Dijon

It is known that the expansion of the real field by some quasianalytic algebras of functions are o-minimal and polynomially bounded. We prove that, for these structures, the preparation theorem for definable functions proved by L. van den Dries and P. Speissegger has an explicit form, from which it is easy to deduce a quantifier elimination result.