Author

Trevor Vadas

Date of Award

5-2012

Level of Access

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.

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