Bohr topologies and partition theorems for vector spaces

DOI10.1016/S0166-8641(97)00190-9zbMath0974.54025MaRDI QIDQ1295193

Kenneth Kunen

Publication date: 5 September 1999

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

zbMATH Keywords

Ramsey theorem

Mathematics Subject Classification ID

Topological groups (topological aspects) (54H11) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Generalized Ramsey theory (05C55) Ramsey theory (05D10)

Related Items (15)

The torsion Bohr topology for Abelian groups. ⋮ 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 ⋮ Countable compactness and finite powers of topological groups without convergent sequences ⋮ Open problems in topology, seventh status report ⋮ Cross sections and homeomorphism classes of Abelian groups equipped with the Bohr topology ⋮ A solution to van Douwen's problem on Bohr topologies ⋮ A selection of open problems ⋮ The weak compactification of locally compact groups

Cites Work

• 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
• Weak measure extension axioms
• Locally precompact groups: (Local) realcompactness and connectedness
• Some points in βN
• Ultrafilters on a countable set

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