## Stefan Geschke

*The nonexistence of universal metric flows*

Comment.Math.Univ.Carolin. 59,4 (2018) 487-493.**Abstract:**We consider dynamical systems of the form $(X,f)$ where $X$ is a compact metric space and $f\colon X\to X$ is either a continuous map or a homeomorphism and provide a new proof that there is no universal metric dynamical system of this kind. The same is true for metric minimal dynamical systems and for metric abstract $\omega$-limit sets, answering a question by Will Brian.

**Keywords:** universal metric dynamical system; minimal dynamical system

**DOI:** DOI 10.14712/1213-7243.2015.264

**AMS Subject Classification:** 54H20 37B05 37B10

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