Abelian groups of continuous functions and their duals

DOI10.1016/0166-8641(93)90133-XzbMath0802.20046MaRDI QIDQ1313943

Shizuo Kamo, Katsuya Eda, Haruto Ohta

Publication date: 12 December 1994

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

zbMATH Keywords

continuous functions0-dimensional spacefree summandfinite rank subgroupsneighborhood basesseparable torsion-free group

Mathematics Subject Classification ID

Algebraic properties of function spaces in general topology (54C40) Torsion-free groups, infinite rank (20K20) Topological methods for abelian groups (20K45)

Related Items (4)

Note on reflexivity of some spaces of continuous integer-valued functions ⋮ Chains of strongly non-reflexive dual groups of integer-valued continuous functions ⋮ Construction of dual modules using Martin's axiom. ⋮ Characterizing group C*-algebras through their unitary groups: the Abelian case

Cites Work

• A generalized direct product of Abelian groups
• On Z-kernel groups
• A Boolean power and a direct product of Abelian groups
• On reflexive modules and Abelian groups
• Spaces which contain a copy of \(S_{\omega}\) or \(S_ 2\) and their applications
• Set theory. An introduction to independence proofs
• Duality and completions of linearly topologized modules
• A factor of singular homology
• Function topologies on abelian groups
• On μ-Spaces and k R -Spaces
• Boolean Rings of Projection Maps
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