Chaotic homeomorphisms are generic
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Publication:1971141
DOI10.1016/S0166-8641(98)00155-2zbMath0977.54032OpenAlexW2059247455MaRDI QIDQ1971141
Robbert J. Fokkink, Fons G. M. Daalderop
Publication date: 24 January 2002
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0166-8641(98)00155-2
Topological dynamics (37B99) Function spaces in general topology (54C35) Baire category, Baire spaces (54E52)
Related Items (14)
On the genericity of the shadowing property for conservative homeomorphisms ⋮ Dynamical properties of spatial discretizations of a generic homeomorphism ⋮ Stability of the rotation set of area-preserving toral homeomorphisms ⋮ Examples of isometric shifts on \(C(X)\) ⋮ Chaotic tracial dynamics ⋮ Quantitative recurrence for generic homeomorphisms ⋮ Topological entropy of Devaney chaotic maps ⋮ How roundoff errors help to compute the rotation set of torus homeomorphisms ⋮ Transitive and series transitive maps on \(\mathbb{R}^d\) ⋮ Chaos among self-maps of the Cantor space ⋮ Topological aspects of incompressible flows ⋮ The rotation sets of most volume preserving homeomorphisms on \(\mathbb{T}^d\) are stable, convex and rational polyhedrons ⋮ Chaotic expansive homeomorphisms on closed orientable surfaces of positive genus ⋮ The \(C^0\) general density theorem for geodesic flows
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