On the cardinalities of finite topologies

DOI10.1016/0012-365X(75)90008-4zbMath0295.54002MaRDI QIDQ1213199

Rainer Parchmann

Publication date: 1975

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

Mathematics Subject Classification ID

Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Enumerative combinatorics (05A99) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25)

Related Items (6)

On the cardinalities of finite topologies and the number of antichains in partially ordered sets ⋮ Counting finite posets and topologies ⋮ Obtainable sizes of topologies on finite sets ⋮ A framework for the systematic determination of the posets on \(n\) points with at least \(\tau \cdot 2^n\) downsets ⋮ A generalization of a theorem of Erné about the number of posets with a fixed antichain ⋮ On the number of reachable pairs in a digraph

Cites Work

• Unnamed Item
• On the number of open sets of finite topologies
• An extremal problem for finite topologies and distributive lattices
• On the Number of Topologies on A Finite Set
• Quasi-Orderings and Topologies on Finite Sets
• Cardinality of finite topologies
• Topology on Finite Sets

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