The Ingram Conjecture

Details The Ingram Conjecture The Ingram Conjecture

2009-12-23

arxiv.org/abs/0912.4645v1

Mathematics

Dynamical Systems

Scientific paper

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.

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