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Title: The nonexistence of universal metric flows (English)
Author: Geschke, Stefan
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 59
Issue: 4
Year: 2018
Pages: 487-493
Summary lang: English
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Category: math
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Summary: 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. (English)
Keyword: universal metric dynamical system
Keyword: minimal dynamical system
MSC: 37B05
MSC: 37B10
MSC: 54H20
idZBL: Zbl 06997364
idMR: MR3914714
DOI: 10.14712/1213-7243.2015.264
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Date available: 2018-12-28T15:11:22Z
Last updated: 2020-01-05
Stable URL: http://hdl.handle.net/10338.dmlcz/147552
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