On minimal homeomorphisms and non-invertible maps preserving foliations

DOI10.1016/j.topol.2018.11.024zbMath1415.57019OpenAlexW2905580656MaRDI QIDQ1710626

Peng Zhang

Publication date: 23 January 2019

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2018.11.024

zbMATH Keywords

manifolddecompositionfoliationtopological entropyminimal setminimal mapskew-product homeomorphism

Mathematics Subject Classification ID

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Minimal sets of fibre-preserving maps in graph bundles
• A classification of minimal sets for surface homeomorphisms
• The Cartesian product of a certain nonmanifold and a line is \(E^4\)
• The topology of four-dimensional manifolds
• Geometric entropy of foliations
• A partial description of parameter space of rational maps of degree two. I
• Existence of codimension-one foliations
• On commutators of foliation preserving homeomorphisms
• Periodic leaves for diffeomorphisms preserving codimension one foliations
• Foliation-preserving maps between solvmanifolds
• A compact minimal space \(Y\) such that its square \(Y\times Y\) is not minimal
• A triangular map on \(I^2\) whose \(\omega\)-limit sets are all compact intervals of \(\{ 0\}\times I\).
• Locally connected exceptional minimal sets of surface homeomorphisms.
• A classification of minimal sets of torus homeomorphisms
• Modelling minimal foliated spaces with positive entropy
• Inequivalent families of periodic homeomorphisms of \(E^ 3\)
• A homeomorphism between the 3-sphere and the sum of two solid horned spheres
• Noninvertible minimal maps
• Construction of minimal non-invertible skew-product maps on 2-manifolds
• Minimal non-invertible transformations of solenoids
• ON THE GROUP OF FOLIATION PRESERVING DIFFEOMORPHISMS
• On almost one-to-one maps
• Proper minimal sets on compact connected 2-manifolds are nowhere dense
• Why it is important to understand dynamics of triangular maps?
• The Bing-Borsuk and the Busemann Conjectures
• Matings of quadratic polynomials
• A Panoramic View of Riemannian Geometry
• On minimal maps of 2-manifolds
• Topological Entropy of Foliation Preserving Diffeomorphisms
• A Pathological Area Preserving C ∞ Diffeomorphism of the Plane
• Minimal nonhomogeneous continua
• Pasting Together Julia Sets: A Worked Out Example of Mating
• Strange triangular maps of the square

This page was built for publication: On minimal homeomorphisms and non-invertible maps preserving foliations