Counting maximal topologies on countable groups and rings

DOI10.1016/J.TOPOL.2008.07.009zbMath1171.54029OpenAlexW2056206194MaRDI QIDQ2378298

Dikran Dikranjan, Igor Vladimirov Protasov

Publication date: 7 January 2009

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2008.07.009

zbMATH Keywords

ultrafilterconvergent sequencemaximal group topologycomplete group topologytransversal group topologies

Mathematics Subject Classification ID

Topological groups (topological aspects) (54H11) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Topological fields, rings, etc. (topological aspects) (54H13) Topological and ordered rings and modules (16W80) Topological and differentiable algebraic systems (22A99)

Related Items (9)

Locally quasi-convex compatible topologies on a topological group ⋮ Transversal, \(T_{1}\)-independent, and \(T_{1}\)-complementary topologies ⋮ Selective survey on subset combinatorics of groups. ⋮ Gaps in the lattices of topological group topologies ⋮ Topologizations of \(G\)-spaces ⋮ Maximal vector topologies ⋮ Topologizations of a set endowed with an action of a monoid ⋮ Counting \(\Omega \)-ideals ⋮ Predecessors of topologies of LCA groups

Cites Work

• On transversal group topologies
• Counting subgroups and topological group topologies
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