Topological transitivity for interval map

Abstract: Topological transitivity is one of the three pillars of Bob Devaney's definition of chaos, along with sensitive dependence on initial conditions, and dense periodic points. In this talk we study the dynamics of piecewise continuous, piecewise monotonic maps of the interval. We discuss several notions of topological transitivity, including an unusual one from the 1960's due to Bill Parry, and discuss the inter-relations between these various notions.