Adding machines, endpoints, and inverse limit spaces
Volume 209 / 2010
Fundamenta Mathematicae 209 (2010), 81-93
MSC: Primary 54H20, 37B45; Secondary 37E05.
DOI: 10.4064/fm209-1-6
Abstract
Let $f$ be a unimodal map in the logistic or symmetric tent family whose restriction to the omega limit set of the turning point is topologically conjugate to an adding machine. A combinatoric characterization is provided for endpoints of the inverse limit space $(I,f)$, where $I$ denotes the core of the map.
