Mathematical Logic Quarterly 55 (6):617-632 (2009)

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
Keywords strong local o‐minimality  ω ‐categoricity  Local o‐minimality
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DOI 10.1002/malq.200810016
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References found in this work BETA

On aleph0.B. Herwig, H. D. Macpherson, G. Martin, A. Nurtazin & J. K. Truss - 1999 - Annals of Pure and Applied Logic 101 (1):65-94.

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O-Minimalism.Hans Schoutens - 2014 - Journal of Symbolic Logic 79 (2):355-409.

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