Topological horseshoes with applications and consequences
by
Judy Kennedy
University of Delaware
Coauthors: James Yorke (University of Maryland, College Park), Sahin Kocak (Anadolu University, Anadolu, Turkey)

If X is a metric space and f is a continuous map from X to itself, then we say that X contains a topological horseshoe if there is a compact set Q in X such that f(Q)=Q and f restricted to Q factors over the shift on M symbols for some M>1. We will discuss results obtained during the last few years about topological horseshoes and the consequences of their presence as well as some applications.

Date received: February 22, 2002