Speaker
Goran Erceg
(Faculty of Science, University of Split)
Description
For a given topological dynamical system $(X,f)$, where $X$ is a non-empty compact metric space and $f : X \to X $ a continuous function, we define an equivalence relation on $X$ and study quotients of dynamical systems. Using those results we produce on the Lelek fan and the Cantor fan a chaotic and mixing homeomorphism as well as a chaotic and mixing mapping, which is not a homeomorphism.
This is joined work with Iztok Banič, Judy Kennedy, Chris Mouron and Van Nall.
Primary author
Goran Erceg
(Faculty of Science, University of Split)
Co-authors
Prof.
Chris Mouron
(Rhodes College, USA)
Prof.
Iztok Banič
(University of Maribor, Slovenia)
Prof.
Judy Kennedy
(Lamar University, USA)
Prof.
Van Nall
(University of Richmond, USA)
