Description
Cantor sets are totally disconnected, compact, metrizable, and contain no isolated points. All Cantor sets are homeomorphic to each other, but the addition of the metric yields new properties which can be detected by their correspondence with the boundaries of infinite rooted trees.
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Details
Title
- Ultrametric Cantor Spaces as Infinite Rooted Trees
Contributors
- Ames, Robert (Author)
- Spielberg, John (Thesis advisor)
- Kaliszewski, Steven (Committee member)
- Quigg, John (Committee member)
- Arizona State University (Publisher)
Date Created
The date the item was original created (prior to any relationship with the ASU Digital Repositories.)
2022
Subjects
Resource Type
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Note
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Partial requirement for: M.A., Arizona State University, 2022
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Field of study: Mathematics