  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.
