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Preprint Number 122
122. Carlo Toffalori, Kathryn Vozoris
Notes on local o-minimality
Submission date: 6 May 2008. Revised version 11 June 2008.
We introduce and study some local versions of o-minimality, requiring that every definable set decomposes as the union of finitely many isolated points and intervals in a suitable neighborhood of every point. Motivating examples are the expansions of the order of reals by sine, cosine and other periodic functions.
Mathematics Subject Classification: 03C64
Keywords and phrases: Local o-minimality, strong local o-minimality, omega-categoricity
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