Topologies on the group of homeomorphisms of a Cantor set
Słowa kluczowe
Cantor set, minimal homeomorphisms, full groups, odometerAbstrakt
Let $\text{\rm Homeo}(\Omega)$ be the group of all homeomorphisms of a Cantor set $\Omega$. We study topological properties of $\text{\rm Homeo}(\Omega)$ and its subsets with respect to the uniform $(\tau)$ and weak $(\tau_w)$ topologies. The classes of odometers and periodic, aperiodic, minimal, rank 1 homeomorphisms are considered and the closures of those classes in $\tau$ and $\tau_w$ are found.Pobrania
Opublikowane
2006-06-01
Jak cytować
1.
BEZUGLYI, Sergey, DOOLEY, Anthony H. & KWIATKOWSKI, Jan. Topologies on the group of homeomorphisms of a Cantor set. Topological Methods in Nonlinear Analysis [online]. 1 czerwiec 2006, T. 27, nr 2, s. 299–331. [udostępniono 22.7.2024].
Numer
Dział
Articles
Statystyki
Liczba wyświetleń i pobrań: 0
Liczba cytowań: 0