| Title:
|
Universal minimal dynamical system for reals (English) |
| Author:
|
Turek, Sławomir |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
36 |
| Issue:
|
2 |
| Year:
|
1995 |
| Pages:
|
371-375 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Our aim is to give a description of $S(\Bbb R)$ and $M(\Bbb R)$, the phase space of universal ambit and the phase space of universal minimal dynamical system for the group of real numbers with the usual topology. (English) |
| Keyword:
|
ambit |
| Keyword:
|
Samuel compactification |
| Keyword:
|
minimal dynamical system |
| MSC:
|
54H20 |
| idZBL:
|
Zbl 0892.54024 |
| idMR:
|
MR1357536 |
| . |
| Date available:
|
2009-01-08T18:18:29Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118763 |
| . |
| Reference:
|
[1] Arkhangel'skii A.V., Ponomarev V.I.: Osnovy obshcheĭ topologii v zadachakh i uprazhneniyakh.Nauka, Moskva, 1974. MR 0445439 |
| Reference:
|
[2] Balcar B., Błaszczyk A.: On minimal dynamical systems on Boolean algebras.Comment. Math. Univ. Carolinae 31 (1990), 7-11. MR 1056164 |
| Reference:
|
[3] Brook R.: A construction of the greatest ambit.Math. Systems Theory 4 (1970), 243-248. MR 0267038 |
| Reference:
|
[4] Engelking R.: General Topology.PWN, Warszawa, 1977. Zbl 0684.54001, MR 0500780 |
| Reference:
|
[5] Gutek A.: A Generalization of Solenoids.Colloquia Math. Soc. J. Bolyai 23 (Proceedings of Colloquium on Topology, Budapest 1978), Amsterdam 1980, 547-554. Zbl 0449.54035, MR 0588803 |
| Reference:
|
[6] de Vries J.: Elements of Topological Dynamics.Kluwer Academic Publishers, DordrechtBoston-London, 1993. Zbl 0783.54035, MR 1249063 |
| . |
