Speaker
Domagoj Jelić
(University of Split, Faculty of Science)
Description
Whenever we are given a selfmap f of a compact metric space
X, we can associate with it the induced mapping C(f) on the
hyperspace C(X) of continua in X, defined in a natural way.
In this talk we discuss and provide the answer to the following question:
Let f be a selfmap of a topological tree T, and let x be a periodic point of f of given period p. What are the possible periods of periodic points of C(T) containing x?
We will argue the significant importance of this result when studying some other features of the system (C(T),C(f)).
The talk is based on a joint work with Piotr Oprocha.
Primary author
Domagoj Jelić
(University of Split, Faculty of Science)
