Date of Award
2011
Document Type
Thesis
Degree Name
Master of Arts in Mathematics
Department
Mathematics
First Advisor
Rinne, Dan
Second Advisor
Fejzic, Hajrudin
Third Advisor
Freiling, Chris, and Williams, Peter
Abstract
This study, Lebesgue measure and category have proved to be useful tools in describing the size of sets. The notions of category and Lebesgue measure are commonly used to describe the size of a set of real numbers (or of a subset of Rn). Although cardinality is also a measure of the size of a set, category and measure are often the more important gauges of size when studying properties of classes of real functions, such as the space of continuous functions or the space of derivatives.
Recommended Citation
Moore, Adam Matthew, "A comparison of category and Lebesgue measure" (2011). Theses Digitization Project. 3905.
https://scholarworks.lib.csusb.edu/etd-project/3905
