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Description
Title: | Model Theory of Nakano Spaces |
Author(s): | Poitevin, Luis P. |
Doctoral Committee Chair(s): | Henson, C. Ward |
Department / Program: | Mathematics |
Discipline: | Mathematics |
Degree Granting Institution: | University of Illinois at Urbana-Champaign |
Degree: | Ph.D. |
Genre: | Dissertation |
Subject(s): | Mathematics |
Abstract: | Some classes of Nakano spaces are shown to be axiomatizable in continuous logic for metric structures. The theory of atomless Nakano spaces equipped with a modular having a fixed compact essential range is shown to admit quantifier elimination. It is also shown that if this essential range is moreover bounded away from 1, the latter theory is model-theoretically stable. |
Issue Date: | 2006 |
Type: | Text |
Language: | English |
Description: | 76 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2006. |
URI: | http://hdl.handle.net/2142/86870 |
Other Identifier(s): | (MiAaPQ)AAI3242961 |
Date Available in IDEALS: | 2015-09-28 |
Date Deposited: | 2006 |
This item appears in the following Collection(s)
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Dissertations and Theses - Mathematics
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Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois