We will discuss the dynamics of set-valued functions and talk
about some basic facts of these
systems. In 2015, [Carrasco, Metzger and Morales] introduced two kinds
of entropy, that they
call separated and spanning entropy, given by separated and spanning
sets respectively. In the
same year, [Kelly and Tennant] introduced a notion of entropy that
resemble the classical notion
of topological entropy of single-valued maps, and show that the entropy
of a set-valued function
is equal to the topological entropy of the shift map on its orbit
spaces. We will talk about the
differences of these definitions of topological entropy for set valued
funtions. This is joint work
with MJ Pacifico.