Journal of Symbolic Logic

Heirs of box types in polynomially bounded structures

Marcus Tressl

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

A box type is an n-type of an o-minimal structure which is uniquely determined by the projections to the coordinate axes. We characterize heirs of box types of a polynomially bounded o-minimal structure M. From this, we deduce various structure theorems for subsets of Mk, definable in the expansion ℳ of M by all convex subsets of the line. We show that ℳ after naming constants, is model complete provided M is model complete.

Article information

Source
J. Symbolic Logic, Volume 74, Issue 4 (2009), 1225-1263.

Dates
First available in Project Euclid: 5 October 2009

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1254748689

Digital Object Identifier
doi:10.2178/jsl/1254748689

Mathematical Reviews number (MathSciNet)
MR2583818

Zentralblatt MATH identifier
1187.03035

Subjects
Primary: Primary 03C64 Secondary 13J30

Keywords
model theory o-minimality real closed fields heirs weakly o-minimal model completeness Dedekind cuts valuation theory

Citation

Tressl, Marcus. Heirs of box types in polynomially bounded structures. J. Symbolic Logic 74 (2009), no. 4, 1225--1263. doi:10.2178/jsl/1254748689. https://projecteuclid.org/euclid.jsl/1254748689


Export citation