Expansions of o-minimal structures by fast sequences

DOI10.2178/jsl/1120224720zbMath1089.03031OpenAlexW2072970018MaRDI QIDQ5718667

Harvey M. Friedman, Chris Miller

Publication date: 16 January 2006

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2178/jsl/1120224720

zbMATH Keywords

o-minimal expansiond-minimal expansionfirst-order expansion of the real line

Mathematics Subject Classification ID

Model theory of ordered structures; o-minimality (03C64)

Related Items (15)

O-MINIMALISM ⋮ Dimensional coincidence does not imply measure-theoretic tameness ⋮ Quantifier elimination for the reals with a predicate for the powers of two ⋮ CONNECTEDNESS IN STRUCTURES ON THE REAL NUMBERS: O-MINIMALITY AND UNDECIDABILITY ⋮ Expansions of real closed fields that introduce no new smooth functions ⋮ Pregeometry over locally o‐minimal structures and dimension ⋮ Expansions of the Real Field by Canonical Products ⋮ Structures having o-minimal open core ⋮ Michael’s Selection Theorem in d-minimal expansions of the real field ⋮ Uniform bounds on growth in o-minimal structures ⋮ Expansions of o-minimal structures by iteration sequences ⋮ D-minimal expansions of the real field have the zero set property ⋮ Expansions of the real field by open sets: definability versus interpretability ⋮ Avoiding the projective hierarchy in expansions of the real field by sequences ⋮ Metric dimensions and tameness in expansions of the real field

Cites Work

• The field of reals with a predicate for the powers of two
• Expansions of the real field with power functions
• Geometric categories and o-minimal structures
• Expansions of o-minimal structures by sparse sets
• The Field of Reals with Multisummable Series and the Exponential Function
• A structure theorem for semibounded sets in the reals
• A growth dichotomy for o-minimal expansions of ordered groups
• The real field with convergent generalized power series
• Quasianalytic Denjoy-Carleman classes and o-minimality
• Defining multiplication in o-minimal expansions of the additive reals
• On o-minimal expansions of Archimedean ordered groups
• Unnamed Item
• Unnamed Item

This page was built for publication: Expansions of o-minimal structures by fast sequences