Geodesic
The nonexistence of universal metric flows
Commentationes Mathematicae Universitatis Carolinae, Tome 59 (2018) no. 4, pp. 487-493.

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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.
DOI : 10.14712/1213-7243.2015.264
Classification : 37B05, 37B10, 54H20
Keywords: universal metric dynamical system; minimal dynamical system 
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Geschke, Stefan. The nonexistence of universal metric flows. Commentationes Mathematicae Universitatis Carolinae, Tome 59 (2018) no. 4, pp. 487-493. doi : 10.14712/1213-7243.2015.264. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2015.264/

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