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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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    Title
    • Ultrametric Cantor Spaces as Infinite Rooted Trees
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    Date Created
    2022
    Resource Type
  • Text
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    Note
    • Partial requirement for: M.A., Arizona State University, 2022
    • Field of study: Mathematics

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