Jacob Nordin Gröning : Minimal Cantor Sets

Abstract: A Cantor set is a topological space which admits a hierarchy of clopen covers. A minimal Cantor set is a Cantor set together with a map such that every orbit is dense in the Cantor set. In this thesis we use inverse limits to study minimal Cantor sets and their properties. In particular, under certain hypothesis we find an upper bound for the number of ergodic measures for minimal Cantor set.