The Ingram conjecture
Copyright policy )The Ingram conjecture
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 selfhomeomorphism of the inverse limit space of the tent map is pseudo-isotopic, on the core, to some power of the shift homeomorphism.
Oberwolfach Preprints;2010,02
- Baylor University United States
- Montana State University System United States
- University of Vienna Austria
- University of Zagreb Croatia
- Montana State University United States
37B45, pseudo-isotopy, unimodal map, Continua theory in dynamics, tent map, Dynamical Systems (math.DS), 37E05, Topological dynamics, 54H20, 510, Dynamical systems involving maps of the interval, Continua and generalizations, tent map ; inverse limit space ; unimodal map ; classification ; pseudo-isotopy, classification, FOS: Mathematics, Mathematics - Dynamical Systems, inverse limit space
37B45, pseudo-isotopy, unimodal map, Continua theory in dynamics, tent map, Dynamical Systems (math.DS), 37E05, Topological dynamics, 54H20, 510, Dynamical systems involving maps of the interval, Continua and generalizations, tent map ; inverse limit space ; unimodal map ; classification ; pseudo-isotopy, classification, FOS: Mathematics, Mathematics - Dynamical Systems, inverse limit space
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