Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4662760 | Annals of Pure and Applied Logic | 2008 | 9 Pages |
Abstract
We characterize the o-minimal expansions of the ring of real numbers, in mathematically transparent terms. This should help bridge the gap between investigators in o-minimality and mathematicians unfamiliar with model theory, who are concerned with such notions as non oscillatory behavior, tame topology, and analyzable functions. We adapt the characterization to the case of o-minimal expansions of an arbitrary ordered ring.
Related Topics
Physical Sciences and Engineering
Mathematics
Logic