Fine asymptotic densities for sets of natural numbers

DOI10.1090/S0002-9939-10-10351-7zbMath1247.11014MaRDI QIDQ3581091

Mauro Di Nasso

Publication date: 16 August 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

asymptotic densityultrafilternon-archimedean group

Mathematics Subject Classification ID

Consistency and independence results (03E35) Density, gaps, topology (11B05)

Related Items (7)

On natural density, orthomodular lattices, measure algebras and non-distributive \(L^p\) spaces ⋮ SLOW P-POINT ULTRAFILTERS ⋮ Generic existence of interval P-points ⋮ On the notions of upper and lower density ⋮ Quasi-selective ultrafilters and asymptotic numerosities ⋮ SET SIZE AND THE PART–WHOLE PRINCIPLE ⋮ Iterated hyper-extensions and an idempotent ultrafilter proof of Rado’s Theorem

Cites Work

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• The Shelah P-point independence theorem
• Numerosities of labelled sets: A new way of counting
• A note on extensions of asymptotic density
• Numerosities of point sets over the real line
• Finitely Additive Measures on N and the Additive Property
• Generalized Asymptotic Density

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