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Definable one dimensional structures in o-minimal theories

✍ Scribed by Assaf Hasson; Alf Onshuus; Ya’acov Peterzil

Book ID: 107529338
Publisher: The Hebrew University Magnes Press
Year: 2010
Tongue: English
Weight: 646 KB
Volume: 179
Category: Article
ISSN: 0021-2172
DOI: 10.1007/s11856-010-0084-z

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We study subgroups G of GL n, R definable in o-minimal expansions M s Ž . Ž. R, q, и , . . . 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 Ž . functions, or an exponential function definable in M.

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