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...

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Bibliographic Details
Main Author: Donoven, Casey Ryall
Other Authors: Falconer, K. J. ; Bleak, Collin
Published: University of St Andrews 2016
Subjects:
515
Online Access:https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.720285

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