All finite distributive lattices occur as intervals between Hausdorff topologies

DOI10.1023/A:1006017515955zbMath0913.06007OpenAlexW198020504MaRDI QIDQ1267549

P. M. Gartside, David W. McIntyre, Robin W. Knight

Publication date: 30 May 1999

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1006017515955

zbMATH Keywords

finite distributive latticeslattice of topologiesintervals between Hausdorff topologies

Mathematics Subject Classification ID

Structure and representation theory of distributive lattices (06D05) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Lower separation axioms ((T_0)--(T_3), etc.) (54D10)

Related Items (5)

Finite intervals in the partial orders of zero-dimensional, Tychonoff and regular topologies ⋮ Complementation in the lattice of locally convex topologies ⋮ Finite intervals in the lattice of topologies ⋮ Semilattices of totally bounded quasi-uniformities ⋮ Measurable cardinals and finite intervals between regular topologies

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