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Title:T-Levels and T-Convexity
Author(s):Tyne, James Michael
Doctoral Committee Chair(s):van den Dries, Lou
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
Abstract: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.
Issue Date:2003
Type:Text
Language:English
Description:106 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2003.
URI:http://hdl.handle.net/2142/86816
Other Identifier(s):(MiAaPQ)AAI3086205
Date Available in IDEALS:2015-09-28
Date Deposited:2003


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