A growth dichotomy for o-minimal expansions of ordered groups
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Publication:4211109
DOI10.1090/S0002-9947-98-02288-0zbMath0904.03022MaRDI QIDQ4211109
Chris Miller, Sergei Starchenko
Publication date: 10 September 1998
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Model-theoretic algebra (03C60) Other groups related to topology or analysis (20F38) Extensions, wreath products, and other compositions of groups (20E22) Interpolation, preservation, definability (03C40) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Ordered fields (12J15) Model theory of fields (12L12)
Related Items (20)
Pfaffian differential equations over exponential o-minimal structures ⋮ Classifying torsion free groups in o-minimal expansions of real closed fields ⋮ Definable functions in tame expansions of algebraically closed valued fields ⋮ Definable Tietze extension property in o-minimal expansions of ordered groups ⋮ Companionability characterization for the expansion of an o-minimal theory by a dense subgroup ⋮ ON DEFINABLE SKOLEM FUNCTIONS IN WEAKLY O-MINIMAL NONVALUATIONAL STRUCTURES ⋮ SOLVABLE LIE GROUPS DEFINABLE IN O-MINIMAL THEORIES ⋮ Solvable groups definable in o-minimal structures. ⋮ Structure theorems for o-minimal expansions of groups ⋮ Structures having o-minimal open core ⋮ RAMSEY GROWTH IN SOME NIP STRUCTURES ⋮ Basics of O-minimality and Hardy Fields ⋮ Expansions of o-minimal structures by fast sequences ⋮ Linearity of groups definable in o-minimal structures ⋮ Uniform bounds on growth in o-minimal structures ⋮ Fusing o-minimal structures ⋮ Returning to semi-bounded sets ⋮ A THEORY OF PAIRS FOR NON-VALUATIONAL STRUCTURES ⋮ Definable group extensions in semi-bounded o-minimal structures ⋮ CHARACTERIZING O-MINIMAL GROUPS IN TAME EXPANSIONS OF O-MINIMAL STRUCTURES
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