Obtainable sizes of topologies on finite sets

DOI10.1016/j.jcta.2009.05.002zbMath1189.05038arXiv0802.2550OpenAlexW2130814119WikidataQ60692208 ScholiaQ60692208MaRDI QIDQ966058

Bridget Eileen Tenner, Kári Ragnarsson

Publication date: 27 April 2010

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.2550

zbMATH Keywords

posetfinite topologyorder idealinteger sequence

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Generalities in topology (54A99)

Related Items (6)

Finite fuzzy topological spaces ⋮ On some formulas in the problem of enumeration of finite labeled topologies ⋮ On the number of clopen topological spaces on a finite set ⋮ On recursion relations in the problem of enumeration of posets ⋮ A framework for the systematic determination of the posets on \(n\) points with at least \(\tau \cdot 2^n\) downsets ⋮ On the number of reachable pairs in a digraph

Uses Software

• OEIS
• posets

Cites Work

• Posets on up to 16 points
• Clique numbers of graphs
• On the cardinalities of finite topologies and the number of antichains in partially ordered sets
• Counting finite posets and topologies
• On the cardinalities of finite topologies
• On the number of distributive lattices
• A Maple package for symmetric functions
• On the number of open sets of finite topologies
• An extremal problem for finite topologies and distributive lattices
• Struktur- und Anzahlformeln für Topologien auf endlichen Mengen
• The Complexity of Counting Cuts and of Computing the Probability that a Graph is Connected
• Asymptotic Enumeration of Partial Orders on a Finite Set
• Cardinality of finite topologies
• Topology on Finite Sets
• The Number of Finite Topologies
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