Return to search

Continued Radicals and Cantor Sets

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.

Identiferoai:union.ndltd.org:WKU/oai:digitalcommons.wku.edu:theses-2149
Date01 May 2012
CreatorsClark, Thomas Tyler
PublisherTopSCHOLAR®
Source SetsWestern Kentucky University Theses
Detected LanguageEnglish
Typetext
Formatapplication/pdf
SourceMasters Theses & Specialist Projects

Page generated in 0.0017 seconds