Files in this item

FilesDescriptionFormat

application/pdf

application/pdf3130919.pdf (3MB)Restricted to U of Illinois
(no description provided)PDF

Description

Title:Stability in Geometric Theories
Author(s):Gagelman, Jerry
Doctoral Committee Chair(s):Pillay, Anand
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
Abstract:The second question is answered for o-minimal structures that eliminate imaginaries. It is proved that for any structure D whose theory is o-minimal and eliminates imaginaries, any stable group interpretable in D is totally transcendental with finite Morley rank. A strengthening of Buechler's Dichotomy Theorem is also proved for stable (viz. superstable) structures that are interpretable in D.
Issue Date:2004
Type:Text
Language:English
Description:34 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2004.
URI:http://hdl.handle.net/2142/86831
Other Identifier(s):(MiAaPQ)AAI3130919
Date Available in IDEALS:2015-09-28
Date Deposited:2004


This item appears in the following Collection(s)

Item Statistics