Special cases and equivalent forms of Katznelson's problem on recurrence

DOI10.1007/S00605-022-01770-6OpenAlexW3188299437MaRDI QIDQ2679709

John T. Griesmer

Publication date: 23 January 2023

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.02190

zbMATH Keywords

Bohr topologyrecurrencedifference settopological abelian group

Mathematics Subject Classification ID

Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (1)

Bohr sets in sumsets II: countable abelian groups

Cites Work

• Interpolation and Sidon sets for compact groups
• Variations on topological recurrence
• Sumset phenomenon in countable amenable groups
• Large independent sets in shift-invariant graphs
• On minimal actions of Polish groups
• Chromatic numbers and Bohr topologies
• Separating Bohr denseness from measurable recurrence
• The Mathematical Coloring Book
• Lacunarity and the Bohr topology
• Interpolation sets and nilsequences
• On two recurrence problems
• Some new examples of recurrence and non-recurrence sets for products of rotations on the unit circle
• The Equicontinuous Structure Relation for Minimal Abelian Transformation Groups
• On a problem of interpolation by periodic and almost periodic functions
• On Katznelson’s Question for skew-product systems
• Chromatic numbers of Cayley graphs on \(\mathbb Z\) and recurrence
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