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• #### Fibonacci-like unimodal inverse limit spaces ﻿

[OWP-2010-03] (Mathematisches Forschungsinstitut Oberwolfach, 2010-03-9)
We study the structure of inverse limit space of so-called Fibonacci-like tent maps. The combinatorial constraints implied by the Fibonacci-like assumption allows us to introduce certain chains that enable a more detailed ...
• #### The ingram conjecture ﻿

[OWP-2010-02] (Mathematisches Forschungsinstitut Oberwolfach, 2010-03-8)
We prove the Ingram Conjecture, i.e., we show that the inverse limit spaces of every two tent maps with different slopes in the interval [1,2] are non-homeomorphic. Based on the structure obtained from the proof, we also ...