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Wednesday the 6th of June 2016 at 4pm in Theatre D
University of St Andrews
Comparing Equivalence Relations on Cantor Space
I will compare two types of relations on Cantor space that arise from fractal (self-similar) constructions. The first are known as invariant relations and are preserved under adding and removing common prefixes. The second are gluing relations formed from edge replacement systems. Both are associated with sequences of graphs, built from replacing vertices or edges with subgraphs, and I will describe the conditions necessary for them to be equivalent.