Counting subgroups and topological group topologies

DOI10.2140/pjm.1985.116.217zbMath0506.22001OpenAlexW1977964776MaRDI QIDQ1836755

J. D. Reid, Shiferaw Berhanu, W. Wistar Comfort

Publication date: 1985

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1985.116.217

zbMATH Keywords

characterAbelian grouplocal weighttotally bounded topological group topologies

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Chains and lattices of subgroups, subnormal subgroups (20E15) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Topological methods for abelian groups (20K45)

Related Items (19)

Counting maximal topologies on countable groups and rings ⋮ Chains of pseudocompact group topologies ⋮ Cardinal invariants and independence results in the poset of precompact group topologies ⋮ The gentle, generous giant tampering with dense subgroups of topological groups ⋮ Contributions to the Bohr topology by W.W. Comfort ⋮ My friend Wis Comfort ⋮ Pseudocompact refinements of compact ring topologies ⋮ On closed subgroups of precompact groups ⋮ Long chains of topological group topologies. --- A continuation ⋮ ``Varopoulos paradigm: Mackey property versus metrizability in topological groups ⋮ w-divisible groups ⋮ Extremal pseudocompact topological groups ⋮ The Dual Group of a Dense Subgroup ⋮ Long chains of Hausdorff topological group topologies ⋮ A selection of open problems ⋮ Extending ring topologies ⋮ Minimal and precompact group topologies on free groups ⋮ Pseudocompact refinements of compact group topologies ⋮ Totally bounded topological group topologies on the integers

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