Limit points of subsequences

DOI10.1016/j.topol.2019.06.038zbMath1430.40002arXiv1801.00343OpenAlexW2963087735MaRDI QIDQ2312457

Paolo Leonetti

Publication date: 17 July 2019

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.00343

zbMATH Keywords

asymptotic densitymeager setErdős-Ulam idealsummable idealideal cluster pointsideal limit pointsgeneralized density ideal\(F_\sigma\)-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) Summability in abstract structures (40J05)

Related Items (10)

Thinnable ideals and invariance of cluster points ⋮ DENSITY-LIKE AND GENERALIZED DENSITY IDEALS ⋮ Statistical extension of bounded sequence space ⋮ Another characterization of meager ideals ⋮ The maximum domain of attraction of multivariate extreme value distributions is small ⋮ Almost all sets of nonnegative integers and their small perturbations are not sumsets ⋮ The Baire category of subsequences and permutations which preserve limit points ⋮ Different kinds of density ideals ⋮ A Tauberian theorem for ideal statistical convergence ⋮ Tauberian theorems for ordinary convergence

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