University of Illinois Urbana-Champaign

Nonstandard techniques in lifting theory

Miller, Jesse E.

Permalink

https://hdl.handle.net/2142/24411

Description

Title
Nonstandard techniques in lifting theory
Author(s)
Miller, Jesse E.
Issue Date
2011-05-25T14:38:13Z
Director of Research (if dissertation) or Advisor (if thesis)
Loeb, Peter A.
Doctoral Committee Chair(s)
Henson, C. Ward
Committee Member(s)
  • Loeb, Peter
  • Junge, Marius
  • Solecki, Slawomir
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
  • lifting
  • measure
  • nonstandard analysis
Abstract
In this dissertation, a nonstandard approach to lifting theory developed by Bliedtner and Loeb is applied to liftings on topological measure spaces and group measure spaces. A further application to disintegrations of measures is given.
Graduation Semester
2011-05
Permalink
http://hdl.handle.net/2142/24411
Copyright and License Information
Copyright 2011 Jesse Miller

Owning Collections

Dissertations and Theses - Mathematics
Graduate Dissertations and Theses at Illinois PRIMARY
Graduate Theses and Dissertations at Illinois