University/Organization
Department of Mathematics and Sciences
The University of Texas at El Paso
El Paso, Texas
Department of Mathematics and Sciences
The University of Texas at El Paso
El Paso, Texas
Title
Cantorvals, Their Topological Structure, and the Generalization of the Guthrie/Nyman Set
Synopsis
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.