Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 569

Preprint Number 569

Previous Next Preprint server

569. Serge Randriambololona
Two remarks on polynomially bounded reducts of the restricted analytic field with exponentiation

18 March 2013.


This article presents two constructions motivated by a conjecture of L. van den Dries and C. Miller concerning the restricted analytic field with exponentiation. The first construction provides an example of two o-minimal expansions of a real closed field that possess the same field of germs at infinity of one-variable functions and yet define different global one-variable functions. The second construction gives an example of a family of infinitely many distinct polynomially bounded reducts (all this in the sense of definability) of the restricted analytic field with exponentiation.

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv 1303.4407: pdf, ps.

Last updated: March 23 2021 09:22 Please send your corrections to: