Date of Award
5-2012
Level of Access Assigned by Author
Campus-Only Thesis
Degree Name
Master of Arts (MA)
Department
Mathematics
Advisor
William O. Bray
Second Committee Member
Andrew Knightly
Third Committee Member
Eisso J. Atzema
Abstract
In measure theory we are introduced to the Carathéodory definition of measurability without much motivation for the definition, nor do we get an understanding of how the definition was derived. In calculating the outer measure of sets under ergodic measure preserving transformations we see that Carathéodory's definition seems to naturally arise.
Recommended Citation
Vadas, Trevor, "Ergodic Transformations and Measurable Sets" (2012). Electronic Theses and Dissertations. 1717.
https://digitalcommons.library.umaine.edu/etd/1717