Notes on local o-minimality

✍ Scribed by Carlo Toffalori; Kathryn Vozoris

• Publisher: John Wiley and Sons
• Year: 2009
• Tongue: English
• Weight: 175 KB
• Volume: 55
• Category: Article
• ISSN: 0044-3050
• DOI: 10.1002/malq.200810016

✦ Synopsis

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)