Finite intervals in the partial orders of zero-dimensional, Tychonoff and regular topologies

DOI10.1016/J.TOPOL.2003.08.010zbMath1058.54004OpenAlexW2012251504MaRDI QIDQ1877599

David W. McIntyre, W. Stephen Watson

Publication date: 19 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.topol.2003.08.010

zbMATH Keywords

lattice of topologies

Mathematics Subject Classification ID

Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10)

Related Items (5)

Predecessors and successors of the Euclidean topology on a subgroup of \(\mathrm{GL}(2,\mathbb{R})\) ⋮ Gaps in the lattices of topological group topologies ⋮ Topologies on \(X\) as points within \(2^{{\mathcal P}(X)}\) ⋮ Gaps in lattices of (para)topological group topologies and cardinal functions ⋮ Predecessors of topologies of LCA groups

Cites Work

• Unnamed Item
• The lattice of topologies: a survey
• Basic intervals in the lattice of topologies
• All finite distributive lattices occur as intervals between Hausdorff topologies
• Measurable cardinals and finite intervals between regular topologies
• On the combination of topologies

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