Mutually complementary partial orders
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Publication:2366008
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
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 \(n\)
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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- Self complementary topologies and preorders
- The number of complements in the lattice of topologies on a fixed set
- On the number of open sets of finite topologies
- Finite topologies and Hamiltonian paths
- An extremal problem for finite topologies and distributive lattices
- On the Lattice of Topologies
- Mutually Complementary Families of T 1 Topologies, Equivalence Relations and Partial Orders
- The Lattice of Topologies: Structure and Complementation
- The Lattice of all Topologies is Complemented
- On the computer enumeration of finite topologies
- Multiple complementation in the lattice of topologies
- 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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