No submaximal topology on a countable set is $\mathbf {T}_{\mathbf {1}}$-complementary

DOI10.1090/S0002-9939-99-04984-9zbMath0932.54035OpenAlexW1566613748MaRDI QIDQ4700174

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Publication date: 1 November 1999

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-04984-9

zbMATH Keywords

connected spacestrongly \(\sigma\)-discrete spacetransversal topology\( T_{1}\)-complement

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Topological groups (topological aspects) (54H11) ``(P)-minimal and ``(P)-closed spaces (54D25) Connected and locally connected spaces (general aspects) (54D05) Embedding (54C25)

Related Items (8)

On transversal group topologies ⋮ Transversal, \(T_{1}\)-independent, and \(T_{1}\)-complementary topologies ⋮ Transversal group topologies on non-Abelian groups ⋮ Open problems in topology. ⋮ Transversality on locally pseudocompact groups ⋮ Open problems in topology, seventh status report ⋮ Self-transversal spaces and their discrete subspaces ⋮ Independent group topologies on abelian groups

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