Fractal, group theoretic, and relational structures on Cantor space
Cantor space, the set of infinite words over a finite alphabet, is a type of metric space with a 'self-similar' structure. This thesis explores three areas concerning Cantor space with regard to fractal geometry, group theory, and topology. We find first results on the dimension of interse...
Main Author: | Donoven, Casey Ryall |
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Other Authors: | Falconer, K. J. ; Bleak, Collin |
Published: |
University of St Andrews
2016
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Subjects: | |
Online Access: | https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.720285 |
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