Chromatic numbers and Bohr topologies

DOI10.1016/S0166-8641(02)00341-3zbMath1029.54044MaRDI QIDQ1398200

Berit Nilsen Givens, Kenneth Kunen

Publication date: 29 July 2003

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

zbMATH Keywords

characterBohr topology

Mathematics Subject Classification ID

Topological groups (topological aspects) (54H11) Coloring of graphs and hypergraphs (05C15)

Related Items (11)

CENTRAL INTERPOLATION SETS FOR COMPACT GROUPS AND HYPERGROUPS ⋮ Zariski topology and Markov topology on groups ⋮ Characterized subgroups of topological abelian groups ⋮ The \(G_{\delta}\)-density nucleus of a compact abelian group ⋮ The Markov-Zariski topology of an abelian group ⋮ Special cases and equivalent forms of Katznelson's problem on recurrence ⋮ Kronecker constants for finite subsets of integers ⋮ Ken and the Bohr topology ⋮ Straightening theorem for bounded Abelian groups ⋮ Characterizations of classes of \(I_0\) sets in discrete abelian groups ⋮ Kronecker Constants of Arithmetic Progressions

Cites Work

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• The maximal totally bounded group topology on G and the biggest minimal G-space, for Abelian groups G
• Bohr topologies and partition theorems for vector spaces
• Lacunarity and the Bohr topology
• Continuous maps in the Bohr Topology
• Algorithms for Nielsen type periodic numbers of maps with remnant on surfaces with boundary and on bouquets of circles I
• Almost periodic extensions of functions
• On chromatic number of graphs and set-systems
• A solution to van Douwen's problem on Bohr topologies

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