‟General Topology in Dynamical Systems” by Hisao Kato <kato.hisao.fw@u.tsukuba.ac.jp>, University of Tsukuba, Japan
Abstract:
Research in general topology is important for the study of dynamical systems. The complexity of dynamical systems suggests the existence of complex topological structures in their base spaces. This lecture will discuss the following two topics: (Part 1) Extended Takens-type reconstruction theorems for one-sided dynamical systems, and (Part 2) The existence of indecomposable continua in chaotic dynamical systems.