Abstract
dc:descriptionThe second question is answered for o-minimal structures that eliminate imaginaries. It is proved that for any structure D whose theory is o-minimal and eliminates imaginaries, any stable group interpretable in D is totally transcendental with finite Morley rank. A strengthening of Buechler's Dichotomy Theorem is also proved for stable (viz. superstable) structures that are interpretable in D.
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2015
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Gagelman, Jerry
- Contributors dc:contributor
-
- Pillay, Anand
Subjects
dc:subject × 1Rights
- Language dc:language
- eng
Identifiers
dc:identifier.*- Identifier
- (MiAaPQ)AAI3130919
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/86831