  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.
