Adjacency in subposets of the lattice of \(T_1\)-topologies on a set

DOI10.1007/s10474-006-0073-1zbMath1174.54307OpenAlexW2040069547MaRDI QIDQ858099

Manuel Sanchis, Mikhail G. Tkachenko, Salvador Hernández, Ofelia Teresa Alas, Richard G. Wilson

Publication date: 8 January 2007

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-006-0073-1

zbMATH Keywords

adjacency of topologiescover of a topologylattice of \(T_1\)-topologiestopological group topology

Mathematics Subject Classification ID

Partial orders, general (06A06) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10)

Related Items (6)

Predecessors and successors of the Euclidean topology on a subgroup of \(\mathrm{GL}(2,\mathbb{R})\) ⋮ Gaps in the lattices of topological group topologies ⋮ Gaps in lattices of (para)topological group topologies and cardinal functions ⋮ On some questions about \(KC\) and related spaces ⋮ Lower continuous topological groups ⋮ Predecessors of topologies of LCA groups

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