Self complementary topologies and preorders

DOI10.1007/BF00383196zbMath0744.06001OpenAlexW2066291488MaRDI QIDQ1177704

Jason I. Brown, W. Stephen Watson

Publication date: 26 June 1992

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00383196

zbMATH Keywords

equivalence relationsposetstopologiespreordersfinite \(T_ 0\)-topologyself-complementarity

Mathematics Subject Classification ID

Partial orders, general (06A06) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Directed graphs (digraphs), tournaments (05C20) Topological lattices (06B30)

Related Items (5)

Mutually complementary partial orders ⋮ Partial order complementation graphs ⋮ The number of complements of a topology on \(n\) points is at least \(2^ n\) (except for some special cases) ⋮ Finite intervals in the lattice of topologies ⋮ The number of complements in the lattice of topologies on a fixed set

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• Struktur- und Anzahlformeln für Topologien auf endlichen Mengen
• On the Lattice of Topologies
• Mutually Complementary Families of T 1 Topologies, Equivalence Relations and Partial Orders
• A completely regular space which is the $T_1$-complement of itself
• 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

This page was built for publication: Self complementary topologies and preorders