Browsing Auburn Theses and Dissertations by Author "Ozbolt, Joseph"

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On Inverse Limits of Metric Spaces

Ozbolt, Joseph (2017-07-22)

Inverse limit spaces have been a topic studied in various fields of mathematics such as Algebra, Measure Theory, and Topology. Here, we present a theorem that can be summarized as a game in which a given compact metric ...

On Planar Embeddings of the Knaster V Lambda-Continuum

Ozbolt, Joseph (2020-07-21)

A\v nusi\'c, Bruin, and \v Cin\v c have asked in \cite{Anusic2} which hereditarily decomposable chainable continua (HDCC) have uncountably many mutually inequivalent planar embeddings. It was noted, as per the embedding ...