Topologies on the \(n\)-element set consistent with topologies close to discrete on an \((n -1)\)-element set

DOI10.1007/s11253-021-01921-2zbMath1479.54022OpenAlexW3202751483WikidataQ114223162 ScholiaQ114223162MaRDI QIDQ2234407

P. G. Stegantseva, A. V. Skryabina

Publication date: 19 October 2021

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-021-01921-2

zbMATH Keywords

discrete topology\(T_0\)-topologiesenumeration of topologies on finite sets

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25)

Related Items (1)

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

Uses Software

• OEIS

Cites Work

• The listing of topologies close to the discrete one on finite sets
• On the cardinality of the \(T_0\)-topologies on a finite set
• On the number of open sets of finite topologies
• Classification of topologies on finite sets using graphs
• Quasi-Orderings and Topologies on Finite Sets
• Cardinality of finite topologies
• On the computer enumeration of finite topologies
• Topology on Finite Sets
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