Abstract
dc:description"Let R be a model of an o-minimal theory T. We define the ""T-levels"" of R and explore their connection to tame substructures of R , subject to a few easily satisfied assumptions. This leads to results about the theory of models of T equipped with a T-convex subset, and to answers to some open questions about o-minimal expansions of real closed fields equipped with a T-convex subring. Specifically, we establish the Valuation and Residue Properties for power bounded o-minimal expansions of real closed fields equipped with a T-convex subring."
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
-
- Tyne, James Michael
- Contributors dc:contributor
-
- van den Dries, Lou
Subjects
dc:subject × 1Rights
- Language dc:language
- eng
Identifiers
dc:identifier.*- Identifier
- (MiAaPQ)AAI3086205
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/86816