Date of Award
2006
Document Type
Thesis
Degree Name
Master of Arts in Mathematics
Department
Mathematics
First Advisor
Ventura, Belasario
Second Advisor
Griffing, Gary
Third Advisor
Prakash, Chetan
Abstract
The purpose of this study was to define topological dimension and Hausdorff dimension, Namely metric space theory and measure theory. It was verified that in the sets of elementary geometry, the dimensions agree, while in the case of the fractals, the Hausdorff dimension is strictly larger than the topological dimension.
Recommended Citation
Nemeth, Loren Beth, "Hausdorff dimension" (2006). Theses Digitization Project. 3457.
https://scholarworks.lib.csusb.edu/etd-project/3457
