Predavatelj: Jernej Činč (University of Vienna)
Ingram conjecture, stating that inverse limit spaces of two tent maps with different slopes in [1,2] are not homeomorphic, was proved recently by Barge, Bruin and Štimac. However, the proof that solves the Ingram conjecture, is based on observations on rays compactifying on the cores of the inverse limit spaces. The core version of the Ingram conjecture is thus still not proven in general. In this talk I will present a partial solution (concerning tent maps with non-recurrent critical points) to the core Ingram conjecture and discuss difficulties we encounter trying to prove the conjecture in general with our approach.
Predavanje bo na PMF Univerze v Zagrebu med 10. in 14. uro v predavalnici 104.