A countable free closed non-reflexive subgroup of ℤ^{𝔠}

DOI10.1090/proc/13532zbMath1371.22004arXiv1512.09007OpenAlexW3124796712MaRDI QIDQ5270161

Salvador Hernández, María Vicenta Ferrer González, Dmitrij B. Shakhmatov

Publication date: 22 June 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.09007

zbMATH Keywords

compact setBaer-Specker groupreflexive groupPontryagin dualityinteger-valued homomorphism groupprodiscrete group

Mathematics Subject Classification ID

Representations of general topological groups and semigroups (22A25) Structure of general topological groups (22A05) Ordinary representations and characters (20C15) Compactness (54D30) Topological groups (topological aspects) (54H11) Product spaces in general topology (54B10) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30)

Related Items (1)

Tensor products of topological abelian groups and Pontryagin duality

Cites Work

• A survey on reflexivity of abelian topological groups
• Note on reflexivity of some spaces of continuous integer-valued functions
• Reflexivity of prodiscrete topological groups
• Continuity of homomorphisms
• Additive subgroups of topological vector spaces
• Separate continuity and joint continuity
• Pontryagin duality for metrizable groups
• Pro-Lie groups: a survey with open problems
• Duality in analysis from the point of view of triples
• A duality property of an uncountable product of \({\mathbb{Z}}\)
• Abelian groups without elements of finite order
• On Direct Products of Infinite Cyclic Groups
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