Classifying expansions of the real field by complex subgroups

In this thesis, we study expansions of the real field by multiplicative subgroups of the complex numbers. We first consider expansions by a subgroup generated by an element of the unit circle and a positive real number. We then consider expansions by a subgroup generated by a complex number and a positive real number. In both of these cases, we investigate the sets definable in these structures and their open cores.

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

2018

Author dc:creator

• Caulfield, Erin

Contributors dc:contributor

• Hieronymi, Philipp
• van den Dries, Lou
• Tserunyan, Anush
• Walsberg, Erik

• Expansions of the real field
• Complex subgroups
• Model theory

Statement dc:rights

• Copyright 2018 Erin Caulfield

Language dc:language

en

Handle dc:identifier

http://hdl.handle.net/2142/101541

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/101541