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oai:www.ideals.illinois.edu:2142/86816 2023-07-11 col_2142_5131 col_2142_16340 com_2142_5130 com_2142_16339 com_2142_8903

van den Dries, Lou Tyne, James Michael 2015-09-28T15:19:40Z 2015-09-28T15:19:40Z 10000-01-01 2003 2003 "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." Made available in DSpace on 2015-09-28T15:19:40Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3086205.pdf: 5915968 bytes, checksum: 1a6e51d88ee9d8af0ede16186e75c0f0 (MD5) Previous issue date: 2003 Embargo set by: Seth Robbins for item 88097 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 106 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2003. http://hdl.handle.net/2142/86816 (MiAaPQ)AAI3086205 eng Mathematics T-Levels and T-Convexity text Mathematics Mathematics University of Illinois at Urbana-Champaign Dissertation Ph.D.