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Definable Sets in Boolean Ordered O-Minimal Structures. II

✍ Scribed by Roman Wencel

Book ID
115504706
Publisher
Association for Symbolic Logic
Year
2003
Tongue
English
Weight
543 KB
Volume
68
Category
Article
ISSN
0022-4812

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πŸ“œ SIMILAR VOLUMES

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## Abstract We consider the sets definable in the countable models of a weakly o‐minimal theory __T__ of totally ordered structures. We investigate under which conditions their Boolean algebras are isomorphic (hence __T__ is p‐__Ο‰__‐categorical), in other words when each of these definable sets adm

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We study subgroups G of GL n, R definable in o-minimal expansions M s Ε½ . Ε½. R, q, ΠΈ , . . . of a real closed field R. We prove several results such as: a G can be defined using just the field structure on R together with, if necessary, power Ε½ . functions, or an exponential function definable in M.