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arXiv · 1305.4621

Fibonacci-like unimodal inverse limit spaces and the core Ingram conjecture

Henk Bruin·Sonja Stimac
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Abstract

We study the structure of inverse limit space of so-called Fibonacci-like tent maps. The combinatorial constraints implied by the Fibonacci-like assumption allow us to introduce certain chains that enable a more detailed analysis of symmetric arcs within this space than is possible in the general case. We show that link-symmetric arcs are always symmetric or a well-understood concatenation of quasi-symmetric arcs. This leads to the proof of the Ingram Conjecture for cores of Fibonacci-like unimodal inverse limits.

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Henk Bruin, Sonja Stimac. 2013-05-20. Fibonacci-like unimodal inverse limit spaces and the core Ingram conjecture. https://arxiv.org/abs/1305.4621

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