The listing of topologies close to the discrete one on finite sets

DOI10.3103/S1066369X1511002XzbMath1329.05018OpenAlexW2298586812MaRDI QIDQ906412

N. P. Bashova, I. G. Velichko, P. G. Stegantseva

Publication date: 21 January 2016

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

Full work available at URL: https://doi.org/10.3103/s1066369x1511002x

zbMATH Keywords

\(T_{0}\)-topologyindex of a topologyindex of an element of a topologytopology on a finite setvector of a topology

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Combinatorics of partially ordered sets (06A07) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Lower separation axioms ((T_0)--(T_3), etc.) (54D10)

Related Items (3)

Properties of 2-CNF mutually dual and self-dual T_0 -topologies on a finite set and calculation of T_0-topologies of a certain weight ⋮ On some formulas in the problem of enumeration of finite labeled topologies ⋮ Topologies on the \(n\)-element set consistent with topologies close to discrete on an \((n -1)\)-element set

Cites Work

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• Counting finite posets and topologies
• On the number of open sets of finite topologies
• Classification of topologies on finite sets using graphs
• On the Number of Topologies on A Finite Set
• Topology on Finite Sets

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