Groups and rings definable in d-minimal structures
Logic
2021-07-12 v2
Abstract
We study groups and rings definable in d-minimal expansions of ordered fields. We generalize to such objects some known results from o-minimality. In particular, we prove that we can endow a definable group with a definable topology making it a topological group, and that a definable ring of dimension at least 1 and without zero divisors is a skew field.
Cite
@article{arxiv.1205.4177,
title = {Groups and rings definable in d-minimal structures},
author = {Antongiulio Fornasiero},
journal= {arXiv preprint arXiv:1205.4177},
year = {2021}
}
Comments
24 pages