报告题目： DYNAMICAL TOPOLOGY: THE CASE OF TRANSITIVE INTERVAL MAPS
摘要： The area of Dynamical Systems where one investigates dynamical properties
that can be described in topological terms is called Topological Dynamics.
Investigating topological properties of spaces of maps that can be described
in dynamical terms is in a sense the opposite idea. Therefore we propose to
call this area Dynamical Topology. It is on the boundary between Dynamical
Systems and Topology, but, in our opinion, closer to Dynamical Systems,
because most of the tools that can be used there are from dynamics. There
are many papers in Topological Dynamics, but few in Dynamical Topology.
In this talk I plan to talk some results on Dynamical Topology. This is
based on on two joint papers with Sergii Kolyada (Institute of Mathematics, NASU, Kiev)
and Micha l Misiurewicz (Indiana University - Purdue University, Indianapolis).