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Notes on local o‐minimality
Author(s) -
Toffalori Carlo,
Vozoris Kathryn
Publication year - 2009
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.200810016
Subject(s) - mathematics , sine , trigonometric functions , neighbourhood (mathematics) , point (geometry) , set (abstract data type) , pure mathematics , discrete mathematics , mathematical analysis , computer science , geometry , programming language
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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