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

Included in

Mathematics Commons

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