Publication Date
5-2012
Advisor(s) - Committee Chair
Tom Richmond, Director, Dominic Lanphier, John Spraker
Degree Program
Department of Mathematics and Computer Science
Degree Type
Master of Science
Abstract
We examine the formation of sets homeomorphic to the ternary Cantor set by continued radicals. We determine properties of bridges and gaps and calculate the thickness of the Cantor set. From this we apply information from continued fractions to continued radicals to obtain new results. We also consider the measure of several Cantor sets.
Disciplines
Mathematics | Physical Sciences and Mathematics
Recommended Citation
Clark, Thomas Tyler, "Continued Radicals and Cantor Sets" (2012). Masters Theses & Specialist Projects. Paper 1145.
https://digitalcommons.wku.edu/theses/1145