Enveloping semigroups and mappings onto the two-shift
| Autor: | Kenneth R. Berg, David Gove, Kamel N. Haddad |
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| Rok vydání: | 1998 |
| Předmět: |
Computer Science::Machine Learning
Discrete mathematics Statistics::Machine Learning Pure mathematics Applied Mathematics General Mathematics MathematicsofComputing_GENERAL Computer Science::Mathematical Software Computer Science::Programming Languages Computer Science::Digital Libraries Mathematics |
| Zdroj: | Proceedings of the American Mathematical Society. 126:899-905 |
| ISSN: | 1088-6826 0002-9939 |
| DOI: | 10.1090/s0002-9939-98-04185-9 |
| Popis: | Enveloping semigroups of topological actions of semigroups G G on compact spaces are studied. For zero dimensional spaces, and under modest conditions on G G , the enveloping semigroup is shown to be the Stone-Čech compactification if and only if some Cartesian product has the two-shift as a factor. Examples are discussed showing that, unlike in the measure theory case, positive entropy does not imply the existence of such a factor even if the Cartesian product has large entropy. |
| Databáze: | OpenAIRE |
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