(Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach, 2010) Barge, M.; Bruin, H.; Stimac, S.
We prove the Ingram Conjecture, i.e., we show that the inverse limit spaces of ev-
ery two tent maps with di®erent 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.
