Name
Abstract | ||
|---|---|---|
We study the notion of dp-minimality, beginning by providing several essential facts about dp-minimality, establishing several equivalent definitions for dp-minimality, and comparing dp-minimality to other minimality notions. The majority of the rest of the paper is dedicated to examples. We establish via a simple proof that any weakly o-minimal theory is dp-minimal and then give an example of a weakly o-minimal group not obtained by adding traces of externally definable sets. Next we give an example of a divisible ordered Abelian group which is dp-minimal and not weakly o-minimal. Finally we establish that the field of p-adic numbers is dp-minimal. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1215/00294527-1435456 | NOTRE DAME JOURNAL OF FORMAL LOGIC |
Keywords | Field | DocType |
independence property,dp-minimal,weakly o-minimal,p-adic field | Discrete mathematics,Elementary abelian group,Algebra,Mathematics | Journal |
Volume | Issue | ISSN |
52 | 3 | 0029-4527 |
Citations | PageRank | References |
12 | 2.01 | 4 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Alfred Dolich | 1 | 32 | 7.75 |
| John Goodrick | 2 | 26 | 7.57 |
| David Lippel | 3 | 13 | 2.75 |