A solution to van Douwen's problem on Bohr topologies

DOI10.1016/S0022-4049(00)00180-8zbMath0983.22001OpenAlexW2018687325MaRDI QIDQ5946829

W. Stephen Watson, Dikran Dikranjan

Publication date: 16 April 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(00)00180-8

zbMATH Keywords

Bohr topologyRamsey theoremdiscrete Abelian group

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) Ramsey theory (05D10) Topological methods for abelian groups (20K45)

Related Items (12)

The gentle, generous giant tampering with dense subgroups of topological groups ⋮ Contributions to the Bohr topology by W.W. Comfort ⋮ Chromatic numbers and Bohr topologies ⋮ A class of abelian groups defined by continuous cross sections in the Bohr topology. ⋮ Functorial topologies and finite-index subgroups of Abelian groups ⋮ Open problems in topology. ⋮ Ken and the Bohr topology ⋮ Straightening theorem for bounded Abelian groups ⋮ Open problems in topology, seventh status report ⋮ Cross sections and homeomorphism classes of Abelian groups equipped with the Bohr topology ⋮ A selection of open problems ⋮ The weak compactification of locally compact groups

Cites Work

• Unnamed Item
• Discrete sets and the maximal totally bounded group topology
• 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
• Cross sections and homeomorphism classes of Abelian groups equipped with the Bohr topology

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