The nonexistence of sensitive commutative group actions on dendrites
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Publication:601930
DOI10.1007/S10114-010-7199-3zbMath1202.37013OpenAlexW2020320759MaRDI QIDQ601930
Li Zhen Zhou, Bin Yong Sun, En Hui Shi
Publication date: 29 October 2010
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-010-7199-3
Topological spaces of dimension (leq 1); curves, dendrites (54F50) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)
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Cites Work
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- The nonexistence of expansive \(\mathbb Z^n\) actions on Peano continua that contain no \(\theta\)-curves
- Chaotic group actions on manifolds
- The nonexistence of sensitive commutative group actions on graphs
- The nonexistence of expansive commutative group actions on Peano continua having free dendrites
- The Nonexistence of Expansive \(\mathbb Z^d\) actions on graphs
- Each compact orientable surface of positive genus admits an expansive homeomorphism
- The nonexistence of expansive homeomorphisms of dendroids
- An analytic doubly-expansive self-homeomorphism of the openn-cube
- The Nonexistence of Expansive Homeomorphisms of 1-Dimensional Compact ANRS
- On Devaney's Definition of Chaos
- Expansive Homeomorphisms and Topological Dimension
- Sensitive dependence on initial conditions
- The Dynamics of the Sierpinski Curve
- Chaotic actions of free groups
- Li–Yorke sensitivity
- Asymptotic geometry of non-mixing sequences
- Tree-like continua do not admit expansive homeomorphisms
- Expansiveness of algebraic actions on connected groups
- Devaney’s chaos implies existence of 𝑠-scrambled sets
- Refinable maps in the theory of shape
- Chaotic group actions
- Devaney's chaos or 2-scattering implies Li-Yorke's chaos
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