| 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 |
| . |
| Category:
|
math |
| . |
| 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 |
| . |
| Date available:
|
2018-12-28T15:11:22Z |
| Last updated:
|
2021-01-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147552 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| . |
