Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 122

Preprint Number 122

Previous Next Preprint server

122. Carlo Toffalori, Kathryn Vozoris
Notes on local o-minimality
E-mail: ,

Submission date: 6 May 2008. Revised version 11 June 2008.


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).

Last updated: June 11 2008 13:48 Please send your corrections to: