Expansive Homeomorphisms and Topological Dimension

DOI10.2307/1998091zbMath0362.54036OpenAlexW4230702536MaRDI QIDQ4136187

Ricardo Mañé

Publication date: 1979

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1998091

Mathematics Subject Classification ID

Related Items (70)

Infinite minimal sets of continuum-wise expansive homeomorphisms of 1-dimensional compacta ⋮ Past stability and expansivity for self-maps ⋮ Is the composite of two expansive maps expansive? ⋮ The nonexistence of expansive polycyclic group actions on the circle 𝕊¹ ⋮ Expansive homeomorphisms on non-Hausdorff spaces ⋮ On finitely summable Fredholm modules from Smale spaces ⋮ \(n\)-expansive homeomorphisms with the shadowing property ⋮ On minimal homeomorphisms on Peano continua ⋮ Expanding maps of solenoids ⋮ Ahlfors regularity and fractal dimension of Smale spaces ⋮ The nonexistence of sensitive commutative group actions on dendrites ⋮ On expansive homeomorphism of uniform spaces ⋮ Levels of generalized expansiveness ⋮ Countably and entropy expansive homeomorphisms with the shadowing property ⋮ On continuum-wise minimality ⋮ Dynamical decomposition theorems of homeomorphisms with zero-dimensional sets of periodic points ⋮ Positively \(N\)-expansive homeomorphisms and the L-shadowing property ⋮ The structure of pointwise recurrent expansive homeomorphisms ⋮ Symbolic extensions and uniform generators for topological regular flows ⋮ On some properties of the shift on an infinite-dimensional torus ⋮ The structures of pointwise recurrent quasi-graph maps ⋮ Positively ep-expansive dynamical systems ⋮ On indecomposability and composants of chaotic continua. II. ⋮ Logarithmic expansion, entropy, and dimension for set-valued maps ⋮ Nuclear dimension and classification of 𝐶*-algebras associated to Smale spaces ⋮ Polynomial entropy and expansivity ⋮ Positive expansive flows ⋮ Sensitive group actions on regular curves of almost \(\leq n\) order ⋮ Hereditarily indecomposable compacta do not admit expansive homeomorphisms ⋮ Finitely presented dynamical systems ⋮ Expansive Subdynamics ⋮ Expansive systems on lattices ⋮ Three dimensional expansive diffeomorphisms with homoclinic points ⋮ Unnamed Item ⋮ A classification of minimal sets for surface homeomorphisms ⋮ Expansive multiparameter actions and mean dimension ⋮ The nonexistence of sensitive commutative group actions on graphs ⋮ The nonexistence of expansive commutative group actions on Peano continua having free dendrites ⋮ Minimal expansive systems and spiral points ⋮ Embeddability into the plane and movability on inverse limits of graphs whose shift maps are expansive ⋮ Expansive homeomorphisms in continuum theory ⋮ Jaworski-type embedding theorems of one-sided dynamical systems ⋮ On homeomorphisms with the two-sided limit shadowing property ⋮ 𝐶*-algebras of homoclinic and heteroclinic structure in expansive dynamics ⋮ Finite-to-one zero-dimensional covers of dynamical systems ⋮ (Non-)expansivity in functional envelopes ⋮ Self-similar hyperbolicity ⋮ The Nonexistence of Expansive \(\mathbb Z^d\) actions on graphs ⋮ Beyond topological hyperbolicity: the L-shadowing property ⋮ Expansive branched coverings of surfaces ⋮ Lyapunov exponents for expansive homeomorphisms ⋮ Dendritations of surfaces ⋮ Continuum-wise expansiveness and specification for set-valued functions and topological entropy ⋮ The nonexistence of expansive homeomorphisms of Peano continua in the plane ⋮ Infinite series in cohomology: attractors and Conley index ⋮ Zero-dimensional covers of dynamical systems ⋮ On a class of Anosov diffeomorphisms on the infinite-dimensional torus ⋮ Expansive flows on uniform spaces ⋮ Hyperbolicity, transitivity and the two-sided limit shadowing property ⋮ Symbolic dynamics in mean dimension theory ⋮ Real-expansive flows and topological dimension ⋮ Unnamed Item ⋮ One-parameter flows with the pseudo-orbit tracing property ⋮ A note on double minimality ⋮ Dense orbits of automorphisms and compactness of groups ⋮ Concerning continuum-wise fully expansive homeomorphisms of continua ⋮ A note on measure-expansive diffeomorphisms ⋮ Directional mean dimension and continuum-wise expansive ℤ^{𝕜}-actions ⋮ Partially hyperbolic diffeomorphisms with a trapping property ⋮ Continuum-wise expansivity and entropy for flows

This page was built for publication: Expansive Homeomorphisms and Topological Dimension