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Preprint Number 122

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122. Carlo Toffalori, Kathryn Vozoris
Notes on local o-minimality
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Submission date: 6 May 2008. Revised version 11 June 2008.

Abstract:

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

Full text: pdf, dvi, ps. (Version of 6 May 2008: pdf, dvi, ps).


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