Date of Award
Level of Access Assigned by Author
Master of Arts (MA)
William O. Bray
Second Committee Member
Third Committee Member
Eisso J. Atzema
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.
Vadas, Trevor, "Ergodic Transformations and Measurable Sets" (2012). Electronic Theses and Dissertations. 1717.