Model Theory of Nakano Spaces

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2015

Author dc:creator

• Poitevin, Luis P.

Contributors dc:contributor

• Henson, C. Ward

• Mathematics

Language dc:language

eng

Identifier

(MiAaPQ)AAI3242961

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/86870