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...

Full description

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