2008.87: Heirs of box types in polynomially bounded structures
2008.87: Marcus Tressl (2008) Heirs of box types in polynomially bounded structures.
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We characterize heirs of so called box types of a polynomially bounded o-minimal structure M. A box type is an n-type of M which is uniquely determined by the projections to the coordinate axes. 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. Moreover we obtain a model completeness result for M*.
|Item Type:||MIMS Preprint|
MSC 2000: Primary 03C64; Secondary 13J30.
|Uncontrolled Keywords:||model theory, o-minimality, real closed fields, heirs, weakly o-minimal, model completeness|
|Subjects:||MSC 2000 > 03 Mathematical logic and foundations|
MSC 2000 > 13 Commutative rings and algebras
|Deposited By:||Dr Marcus Tressl|
|Deposited On:||10 October 2008|