Products of minimal abelian groups

DOI10.1007/BF02570894zbMath0685.22001MaRDI QIDQ1825972

Dikran Dikranjan, Dmitrij B. Shakhmatov

Publication date: 1990

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/183791

zbMATH Keywords

Hausdorff topological groupminimal abelian groupsnon-compact minimal groupsnon-perfectly- minimal minimal groupsperfectly minimal abelian groups

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Topological methods for abelian groups (20K45)

Related Items (7)

Countably compact groups having minimal infinite powers ⋮ On the lattice of linear module topologies ⋮ Products of locally minimal groups ⋮ Extremal pseudocompact topological groups ⋮ Quotients of zero-dimensional precompact abelian groups ⋮ Recent advances in minimal topological groups ⋮ Compactness and connectedness in topological groups

Cites Work

• On a property of the one-dimensional torus
• Character and pseudocharacter in minimal topological groups
• Set theory. An introduction to independence proofs
• Some minimal group topologies are precompact
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