Thinnable ideals and invariance of cluster points

DOI10.1216/RMJ-2018-48-6-1951zbMath1415.40005arXiv1706.07954WikidataQ128880404 ScholiaQ128880404MaRDI QIDQ1627602

Paolo Leonetti

Publication date: 30 November 2018

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.07954

zbMATH Keywords

statistical convergenceasymptotic densitycluster pointideal convergencelogarithmic densityErdős-Ulam idealsummable idealthinnable ideal

Mathematics Subject Classification ID

Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Density, gaps, topology (11B05) Ideal and statistical convergence (40A35)

Related Items (10)

Invariance of ideal limit points ⋮ On the relationship between ideal cluster points and ideal limit points ⋮ Another characterization of meager ideals ⋮ Characterizations of ideal cluster points ⋮ On the notions of upper and lower density ⋮ The Baire category of subsequences and permutations which preserve limit points ⋮ Limit points of subsequences ⋮ Characterizations of the ideal core ⋮ Convergence Rates of Subseries ⋮ Some new insights into ideal convergence and subsequences

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