The nonexistence of universal metric flows
Commentationes Mathematicae Universitatis Carolinae (2018)
- Volume: 59, Issue: 4, page 487-493
- ISSN: 0010-2628
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topGeschke, Stefan. "The nonexistence of universal metric flows." Commentationes Mathematicae Universitatis Carolinae 59.4 (2018): 487-493. <http://eudml.org/doc/294312>.
@article{Geschke2018,
abstract = {We consider dynamical systems of the form $(X,f)$ where $X$ is a compact metric space and $f\colon X\rightarrow X$ 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.},
author = {Geschke, Stefan},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {universal metric dynamical system; minimal dynamical system},
language = {eng},
number = {4},
pages = {487-493},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {The nonexistence of universal metric flows},
url = {http://eudml.org/doc/294312},
volume = {59},
year = {2018},
}
TY - JOUR
AU - Geschke, Stefan
TI - The nonexistence of universal metric flows
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2018
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 59
IS - 4
SP - 487
EP - 493
AB - We consider dynamical systems of the form $(X,f)$ where $X$ is a compact metric space and $f\colon X\rightarrow X$ 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.
LA - eng
KW - universal metric dynamical system; minimal dynamical system
UR - http://eudml.org/doc/294312
ER -
References
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