SSGP topologies on abelian groups of positive finite divisible rank

DOI10.4064/fm463-3-2018zbMath1417.22003arXiv1704.08554OpenAlexW3101045478MaRDI QIDQ4615018

Víctor Hugo Yañez, Dmitrij B. Shakhmatov

Publication date: 1 February 2019

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.08554

zbMATH Keywords

partially ordered setabelian groupminimally almost periodic groupcountable groupsmall subgroup generating propertyfinite powers of the rational numbersmetric group topology

Mathematics Subject Classification ID

Partial orders, general (06A06) Structure of general topological groups (22A05) Metric spaces, metrizability (54E35) Topological groups (topological aspects) (54H11) Subgroups of abelian groups (20K27) Set theory (03E99)

Related Items

The gentle, generous giant tampering with dense subgroups of topological groups ⋮ SSGP topologies on free groups of infinite rank ⋮ Locally quasi-convex compatible topologies on locally compact abelian groups ⋮ Mackey groups and Mackey topologies

Cites Work

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• A complete solution of Markov's problem on connected group topologies
• Topological groups with many small subgroups
• Some classes of minimally almost periodic topological groups
• On the basic subgroups of abelianp-groups

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