Date of Award
2019-01-01
Degree Name
Master of Science
Department
Mathematical Sciences
Advisor(s)
Joe A. Guthrie
Abstract
With interesting topological properties, the Cantor set is worth studying for itself. In other areas, topological structures arise that are in fact homeomorphic to the Cantor set. In particular, we see sets that are homeomorphic to the Cantor set which result from the subsums of particular series, as well as linear combinations of algebraic sums of Cantor sets. These also result in what has been termed a Cantorval, which we also investigate.
Language
en
Provenance
Received from ProQuest
Copyright Date
2019-05
File Size
46 pages
File Format
application/pdf
Rights Holder
Ángel Adrián Agüero
Recommended Citation
Agüero, Ángel Adrián, "Cantor Sets, Cantorvals, and Their Topological Structure" (2019). Open Access Theses & Dissertations. 28.
https://scholarworks.utep.edu/open_etd/28