Plane embeddings of inverse limit spaces of tent maps

Inverse limits of tent maps are continua contained in the Hilbert cube. They often appear as global attractors of plane homeomorphisms. There is a well-known algorithm of embedding this continua in the plane using symbolic description of their arc-components. We will present the symbolic description and show how the current algorithm can be adapted to produce uncountably many different plane embeddings. For every arc-component there exists an embedding making it accessible from the complement.

Predavanje bo na Fakulteti za matematiko in fiziko Univerze v Ljubljani.