Model Theory of Nakano Spaces

Poitevin, Luis P.
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http://hdl.handle.net/2142/86870

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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


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