Special Session 126: 

Uniformly perfect and Hereditarily Non Uniformly Perfect Sets in Dynamics

Rich Stankewitz
Ball State University
USA
Co-Author(s):    
Abstract:
We discuss uniformly perfect sets and hereditarily non uniformly perfect sets (compact sets for which no compact subset is uniformly perfect), as they arise in various dynamical settings (e.g., Julia sets of certain rational semigroups, Attractor sets of certain iterated function systems, and certain sets of well-approximable points).