The Ingram Conjecture
Dynamical Systems
2014-11-11 v1
Abstract
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 show that every self-homeomorphism of the inverse limit space of the tent map is pseudo-isotopic, on the core, to some power of the shift homeomorphism.
Cite
@article{arxiv.0912.4645,
title = {The Ingram Conjecture},
author = {M. Barge and H. Bruin and S. Štimac},
journal= {arXiv preprint arXiv:0912.4645},
year = {2014}
}