The Core Ingram Conjecture for non-recurrent critical points
Volume 241 / 2018
Fundamenta Mathematicae 241 (2018), 209-235
MSC: 37B45, 37E05, 54H20.
DOI: 10.4064/fm199-7-2017
Published online: 12 January 2018
Abstract
We study inverse limit spaces of tent maps, and the Ingram Conjecture, which states that the inverse limit spaces of tent maps with different slopes are non-homeomorphic. When the tent map is restricted to its core, so there is no ray compactifying on the inverse limit space, this result is referred to as the Core Ingram Conjecture. We prove the Core Ingram Conjecture when the critical point is non-recurrent and not preperiodic.
