Date of Award
Master of Arts in Mathematics
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.
Nemeth, Loren Beth, "Hausdorff dimension" (2006). Theses Digitization Project. 3457.