Advisor(s) - Committee Chair
Tom Richmond, Director, Dominic Lanphier, John Spraker
Department of Mathematics and Computer Science
Master of Science
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.
Mathematics | Physical Sciences and Mathematics
Clark, Thomas Tyler, "Continued Radicals and Cantor Sets" (2012). Masters Theses & Specialist Projects. Paper 1145.