Precompact noncompact reflexive Abelian groups

DOI10.1515/form.2011.061zbMath1259.22001arXiv1001.4895OpenAlexW3104821478MaRDI QIDQ5388205

Mikhail G. Tkachenko, Maria-Jesus Chasco, Xabier Dominguez, Sergio Ardanza-Trevijano

Publication date: 18 April 2012

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.4895

zbMATH Keywords

precompact groupcountably compact groupreflexive grouppseudocompact group\(\mathcal{P}_h\)\(h\)-embedded subgroup

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) General properties and structure of LCA groups (22B05) Analysis on general topological groups (22A10) Character groups and dual objects (43A40)

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Self-duality in the class of precompact groups, Reflexivity in precompact groups and extensions, Pseudocompact group topologies with no infinite compact subsets, Nondiscrete P-groups can be reflexive, Pontryagin duality in the class of precompact abelian groups and the Baire property, A survey on reflexivity of abelian topological groups, A characterization of strongly countably complete topological groups, The dual of a pseudocompact group refining the topology of the circle group, Some cases of preservation of the Pontryagin dual by taking dense subgroups, Precompact groups and property (T), On reflexivity of the group of the null sequences valued in an abelian topological group, Abelian groups admitting a Fréchet-Urysohn pseudocompact topological group topology, The separable quotient problem for topological groups, Duality properties of bounded torsion topological abelian groups, On convergent sequences in dual groups, Selectively pseudocompact groups without infinite separable pseudocompact subsets, The impact of the Bohr topology on selective pseudocompactness, Pseudocompact Topological Groups, Mackey groups and Mackey topologies

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