Minimal and precompact group topologies on free groups

DOI10.1016/0022-4049(91)90014-SzbMath0726.22001MaRDI QIDQ802760

Dieter Remus

Publication date: 1991

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

group completion\(T_ 2\)-precompact group topologiescountable free groupHausdorff group topologiesprecompact totally minimal group topologiestotally minimal group topologies

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) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Free nonabelian groups (20E05) Lower separation axioms ((T_0)--(T_3), etc.) (54D10)

Related Items

Minimal pseudocompact group topologies on free abelian groups ⋮ Chains of pseudocompact group topologies ⋮ Cardinal invariants and independence results in the poset of precompact group topologies ⋮ Contributions to the Bohr topology by W.W. Comfort ⋮ Non-abelian pseudocompact groups ⋮ On closed subgroups of precompact groups ⋮ Long chains of topological group topologies. --- A continuation ⋮ Long chains of Hausdorff topological group topologies ⋮ Recent advances in minimal topological groups ⋮ Extending ring topologies ⋮ Dense subsets of maximally almost periodic groups

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