8th Croatian Mathematical Congress

A note on the specification property

5 Jul 2024, 11:10

20m

D6 (School of Applied Mathematics and Informatics, J. J. Strossmayer University of Osijek)

Talk TOP: Topology Topology

Speaker

Ivan Jelić (University of Split, Faculty of Science)

Description

In this talk we discuss the specification property from a topological point of view. We show that dynamical system $(X,f)$, where $f$ is a surjective mapping, has specification property if and only if dynamical system $(\underleftarrow{lim}(X,f),\sigma )$ has specification property. Of particular interest to us is the application of the obtained results to fans (e.g. Lelek fan).