| Autor: |
Tiaoying Zeng, Tao Yu, Jie Li |
| Rok vydání: |
2018 |
| Předmět: |
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| Zdroj: |
Topol. Methods Nonlinear Anal. 51, no. 2 (2018), 545-563 |
| ISSN: |
1230-3429 |
| Popis: |
The notions of sensitive and equicontinuous functions under semigroup action are introduced and intensively studied. We show that a transitive system is sensitive if and only if it has a sensitive pair if and only if it has a sensitive function. While there exists a minimal non-weakly mixing system such that every non-constant continuous function is sensitive, and a topological dynamical system is weakly mixing if and only if it is sensitive consistently with respect to (at least) any two non-constant continuous functions. We also get a dichotomy result for minimal systems -- every continuous function is either sensitive or equicontinuous. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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