Geodesic
Adding machines, endpoints, and inverse limit spaces
Lori Alvin1 ; Karen Brucks1
1Department of Mathematical Sciences University of Wisconsin at Milwaukee Milwaukee, WI 53201-0413, U.S.A.
Fundamenta Mathematicae, Tome 209 (2010) no. 1, pp. 81-93
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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.
DOI : 10.4064/fm209-1-6
Keywords: unimodal map logistic symmetric tent family whose restriction omega limit set turning point topologically conjugate adding machine combinatoric characterization provided endpoints inverse limit space where denotes core map

Lori Alvin  1   ; Karen Brucks  1

1 Department of Mathematical Sciences University of Wisconsin at Milwaukee Milwaukee, WI 53201-0413, U.S.A. 
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Lori Alvin; Karen Brucks. Adding machines, endpoints, and inverse limit spaces. Fundamenta Mathematicae, Tome 209 (2010) no. 1, pp. 81-93. doi: 10.4064/fm209-1-6

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