Proximal-isometric (\(\mathcal P\mathfrak F\)) flows

DOI10.1016/0001-8708(75)90093-6zbMath0304.54039OpenAlexW1969157489MaRDI QIDQ1216880

Leonard Shapiro, Shmuel Glasner, Robert Ellis

Publication date: 1975

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(75)90093-6

Mathematics Subject Classification ID

Related Items (38)

Lifting the regionally proximal relation and characterizations of distal extensions ⋮ Multiple disjointness and invariant measures on minimal distal flows ⋮ Topological ergodic decompositions and applications to products of powers of a minimal transformation ⋮ Independence in topological and \(C^*\)-dynamics ⋮ Minimal Skew Products ⋮ Higher order regionally proximal equivalence relations for general minimal group actions ⋮ Topological characteristic factors and independence along arithmetic progressions ⋮ Pure Weak Mixing ⋮ Dynamical parallelepipeds in minimal systems ⋮ Multiply minimal points for the product of iterates ⋮ Almost proximal extensions of minimal flows ⋮ Characterizations of distality via weak equicontinuity ⋮ A metric minimal PI cascade with minimal ideals ⋮ The structure of tame minimal dynamical systems for general groups ⋮ Relativization of sensitivity in minimal systems ⋮ Open homomorphisms of minimal flows ⋮ Regionally proximal relation of order \(d\) along arithmetic progressions and nilsystems ⋮ Sensitivity, proximal extension and higher order almost automorphy ⋮ On M-dynamics and Li-Yorke chaos of extensions of minimal dynamics ⋮ Regionally proximal relation of order \(d\) is an equivalence one for minimal systems and a combinatorial consequence ⋮ Möbius disjointness for skew products on the Heisenberg nilmanifold ⋮ Localization of mixing property via Furstenberg families ⋮ On the virtual automorphism group of a minimal flow ⋮ First cohomology groups of minimal flows ⋮ Product recurrent properties, disjointness and weak disjointness ⋮ The Regionally Proximal Relation ⋮ Weak disjointness and the equicontinuous structure relation ⋮ Residual properties and almost equicontinuity. ⋮ The structure of tame minimal dynamical systems ⋮ Sufficient conditions under which a transitive system is chaotic ⋮ Topological dynamics ⋮ Relatively weakly mixing models for dynamical systems ⋮ Characterization of quasifactors ⋮ Quasi-factors in ergodic theory ⋮ A non-PI minimal system is Li-Yorke sensitive ⋮ Real Prime Flows ⋮ On recurrence in zero-dimensional locally compact flow with compactly generated phase group ⋮ Topological weak mixing and quasi-Bohr systems

Cites Work

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• Bohr compactifications and a result of Folner
• Compressibility Properties in Topological Dynamics
• The Veech Structure Theorem
• Group-like extensions and similar algebras
• The Structure of Distal Flows
• Point-Distal Flows
• Distal and proximal extensions of minimal flows
• Weak Disjointness of Transformation Groups
• Topological Dynamics and Group Theory

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