Cantor Sets, Cantorvals, and Their Topological Structure

Ángel Agüero, University of Texas at El Paso

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.

Subject Area

Mathematics|Theoretical Mathematics

Recommended Citation

Agüero, Ángel, "Cantor Sets, Cantorvals, and Their Topological Structure" (2019). ETD Collection for University of Texas, El Paso. AAI13886890.
https://digitalcommons.utep.edu/dissertations/AAI13886890

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