Groups with Only Resolvable Group Topologies

DOI10.2307/2160457zbMath0820.22001OpenAlexW4253715943MaRDI QIDQ4290788

Jan van Mill, W. Wistar Comfort

Publication date: 30 August 1995

Full work available at URL: https://doi.org/10.2307/2160457

zbMATH Keywords

Prüfer groupsMartin's axiomHausdorff group topologydivisible Abelian groupsresolvable topological spacesstrongly resolvable groups

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) Continuum hypothesis and Martin's axiom (03E50) Extremally disconnected spaces, (F)-spaces, etc. (54G05) Topological methods for abelian groups (20K45)

Related Items (17)

Box resolvability ⋮ Almost maximal spaces ⋮ Thin subsets of topological groups ⋮ Absolute decomposability of the group of rational numbers ⋮ Absolutely decomposable groups ⋮ Borel resolvability of compact spaces and their subspaces ⋮ Resolvability: A selective survey and some new results ⋮ Partitions and sums with inverses in Abelian groups. ⋮ A note on factoring groups into dense subsets ⋮ Partitions of groups into absolutely dense subsets ⋮ Local Homomorphisms of Topological Groups ⋮ Discrete Subsets in Topological Groups and Countable Extremally Disconnected Groups ⋮ Maximal resolvability of totally bounded and \(\aleph_0\)-bounded groups ⋮ Maximal resolvability of bounded groups ⋮ On partitions of groups into dense subsets ⋮ ω-NARROWNESS AND RESOLVABILITY OF TOPOLOGICAL GENERALIZED GROUPS ⋮ Dense subsets of maximally almost periodic groups

Cites Work

• Some topological groups with, and some without, proper dense subgroups
• A problem of set-theoretic topology
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