Densities for sets of natural numbers vanishing on a given family

DOI10.1016/J.JNT.2019.10.015zbMath1468.11030OpenAlexW2990085012WikidataQ114157216 ScholiaQ114157216MaRDI QIDQ2308842

Jacek Tryba, Rafał Filipów

Publication date: 3 April 2020

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2019.10.015

zbMATH Keywords

ideal convergenceBaire propertyideal of setsmaximal almost disjoint familysubmeasureabstract upper densitydensity of sets of integers

Mathematics Subject Classification ID

Density, gaps, topology (11B05) Other combinatorial set theory (03E05)

Related Items (2)

Turnpike in infinite dimension ⋮ Capacities and Choquet averages of ultrafilters

Cites Work

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• Continuous projections onto ideal convergent sequences
• A note on extensions of asymptotic density
• Compacts de fonctions mesurables et filtres non mesurables
• Ideals of the second category
• Analytic quotients: theory of liftings for quotients over analytic ideals on the integers
• Almost disjoint refinements and mixing reals
• Abstract densities and ideals of sets
• Set Theory
• Continuum-many Boolean algebras of the form Borel

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