Cross sections and homeomorphism classes of Abelian groups equipped with the Bohr topology

DOI10.1016/S0166-8641(00)00065-1zbMath0986.22001MaRDI QIDQ5943949

Salvador Hernández, F. Javier Trigos-Arrieta, W. Wistar Comfort

Publication date: 29 May 2002

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

zbMATH Keywords

Bohr topologyRamsey theorytotally bounded groupcross sectionretract

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) Retraction (54C15) General properties and structure of LCA groups (22B05) Subgroups of abelian groups (20K27) Topological methods for abelian groups (20K45)

Related Items (11)

Cross sections and pseudo-homomorphisms of topological abelian groups ⋮ 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 ⋮ A class of abelian groups defined by continuous cross sections in the Bohr topology. ⋮ Straightening theorem for bounded Abelian groups ⋮ A solution to van Douwen's problem on Bohr topologies ⋮ On locally solid topological lattice groups ⋮ On local cross sections in topological abelian groups ⋮ A selection of open problems ⋮ The weak compactification of locally compact groups

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