Continued Radicals and Cantor Sets

<p>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.</p>

Name thesis:degree_name

Master of Science

Discipline thesis:degree_discipline

Department of Mathematics and Computer Science

Year

2012

Author dc:creator

• Clark, Thomas Tyler

Contributors dc:contributor

• Tom Richmond, Director, Dominic Lanphier, John Spraker

• Calculation of thickness
• lengths of gaps
• Mathematics
• Physical Sciences and Mathematics

Repository record dc:identifier

https://digitalcommons.wku.edu/theses/1145

OAI identifier oai:identifier

oai:digitalcommons.wku.edu:theses-2149