Mutually complementary partial orders

DOI10.1016/0012-365X(93)90506-OzbMath0771.06001OpenAlexW1963530250MaRDI QIDQ2366008

Jason I. Brown, W. Stephen Watson

Publication date: 29 June 1993

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(93)90506-o

zbMATH Keywords

largest set of pairwise complementary partial orders on a set of size \(n\)maximum number of mutually complementary \(T_ 0\) topologies on a set of size \(n\)

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Lower separation axioms ((T_0)--(T_3), etc.) (54D10)

Related Items (5)

Partial order complementation graphs ⋮ The number of complements of a topology on \(n\) points is at least \(2^ n\) (except for some special cases) ⋮ Maximal pairwise complementary families of quasi-uniformities ⋮ Open problems in topology. ⋮ The number of complements in the lattice of topologies on a fixed set

Cites Work

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• Infinite complementation in the lattice of topologies
• The Number of Finite Topologies
• Families of Mutually Complementary Topologies
• On the combination of topologies

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