- Tytuł:
- Nonmetrizable topological dynamical characterization of central sets
- Autorzy:
-
Shi, Hong-Ting
Yang, Hong-Wei - Tematy:
-
topological dynamical system
enveloping semigroup
uniform recurrence
proximality
minimal idempotent
central subset - Pokaż więcej
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Powiązania:
- https://bibliotekanauki.pl/articles/1205493.pdf Link otwiera się w nowym oknie
- Opis:
- Without the restriction of metrizability, topological dynamical systems $(X,⟨ T_s⟩_{s ∈ G})$ are defined and uniform recurrence and proximality are studied. Some well known results are generalized and some new results are obtained. In particular, a topological dynamical characterization of central sets in an arbitrary semigroup (G,+) is given and shown to be equivalent to the usual algebraic characterization.
- Dostawca treści:
- Biblioteka Nauki
Artykuł