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

摘要

We study the structure of inverse limit space of so-called Fibonacci-liketent maps. The combinatorial constraints implied by the Fibonacci-likeassumption allow us to introduce certain chains that enable a more detailedanalysis of symmetric arcs within this space than is possible in the generalcase. We show that link-symmetric arcs are always symmetric or awell-understood concatenation of quasi-symmetric arcs. This leads to the proofof the Ingram Conjecture for cores of Fibonacci-like unimodal inverse limits.