Notes on local o‐minimality |
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| Authors: | Carlo Toffalori Kathryn Vozoris |
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| Institution: | Department of Mathematics and Computer Science, University of Camerino, Via Madonna delle Carceri 9, 62032 Camerino, Italy |
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| 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 neighbourhood of every point. Motivating examples are the expansions of the ordered reals by sine, cosine and other periodic functions (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
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| Keywords: | Local o‐minimality strong local o‐minimality ω ‐categoricity |
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