An introduction to o-minimal structures
Logic
2007-05-23 v2
Abstract
The first papers on o-minimal structures appeared in the mid 1980s, since then the subject has grown into a wide ranging generalisation of semialgebraic, subanalytic and subpfaffian geometry. In these notes we try to show that this is in fact the case by presenting several examples of o-minimal structures and by listing some geometric properties of sets and maps definable in o-minimal structures. We omit here any reference to the pure model theory of o-minimal structures and to the theory of groups and rings definable in o-minimal structures.
Cite
@article{arxiv.math/0012051,
title = {An introduction to o-minimal structures},
author = {Mario J. Edmundo},
journal= {arXiv preprint arXiv:math/0012051},
year = {2007}
}
Comments
Lecture note for the TMR Junior and Summer School in Complex Dynamics, 2-11 September 199, CMAF Lisboa, Portugal