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https://hdl.handle.net/2142/86870
Description
Title
Model Theory of Nakano Spaces
Author(s)
Poitevin, Luis P.
Issue Date
2006
Doctoral Committee Chair(s)
Henson, C. Ward
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Mathematics
Language
eng
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.
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