Measurable cardinals and finite intervals between regular topologies

DOI10.1016/S0166-8641(01)00210-3zbMath1019.54002OpenAlexW1999412557MaRDI QIDQ1862022

David W. McIntyre, W. Stephen Watson, Chris Good

Publication date: 10 March 2003

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(01)00210-3

zbMATH Keywords

basic intervalcopseproduct of ultrafilter

Mathematics Subject Classification ID

Representation theory of lattices (06B15) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Large cardinals (03E55) Topological representations of algebraic systems (54H10)

Related Items (3)

Finite intervals in the partial orders of zero-dimensional, Tychonoff and regular topologies ⋮ Topologies on \(X\) as points within \(2^{{\mathcal P}(X)}\) ⋮ Monotonically countably paracompact, collectionwise Hausdorff spaces and measurable cardinals

Cites Work

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• The lattice of topologies: a survey
• Basic intervals in the lattice of topologies
• All finite distributive lattices occur as intervals between Hausdorff topologies
• On the combination of topologies

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