Name
Abstract | ||
|---|---|---|
Building on Hrushovski's work in [5]. we study definable groupoids in stable theories and their relationship with 3-uniqueness and finite internal covers. We introduce the notion of retractability of a definable groupoid (which is slightly stronger than Hrushovski's notion of eliminability). give some criteria for when groupoids are retractable, and show how retractability relates to both 3-uniqueness and the splitness of finite internal covers. One application we give is a new direct method of constructing non-eliminable groupoids from witnesses to the failure of 3-uniqueness. Another application is a proof that any finite internal cover of a stable theory with a centerless liaison groupoid is almost split. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.2178/jsl/1278682207 | JOURNAL OF SYMBOLIC LOGIC |
DocType | Volume | Issue |
Journal | 75 | 3 |
ISSN | Citations | PageRank |
0022-4812 | 2 | 0.77 |
References | Authors | |
3 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| John Goodrick | 1 | 26 | 7.57 |
| Alexei Kolesnikov | 2 | 18 | 4.98 |