On the relationship between ideal cluster points and ideal limit points

DOI10.1016/j.topol.2018.11.022zbMath1426.40003arXiv1709.01680OpenAlexW2963659968WikidataQ128820514 ScholiaQ128820514MaRDI QIDQ1632754

Marek Balcerzak, Paolo Leonetti

Publication date: 17 December 2018

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

Full work available at URL: https://arxiv.org/abs/1709.01680

zbMATH Keywords

equidistributionmaximal idealasymptotic densityregular closed setanalytic $P$-idealideal limit pointco-analytic idealideal cluster point

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 (14)

The Borel complexity of ideal limit points ⋮ Invariance of ideal limit points ⋮ DENSITY-LIKE AND GENERALIZED DENSITY IDEALS ⋮ Another characterization of meager ideals ⋮ Characterizations of ideal cluster points ⋮ Most numbers are not normal ⋮ The Baire category of subsequences and permutations which preserve limit points ⋮ A generalization of the density zero ideal ⋮ A characterization of \((\mathcal{I,J})\)-regular matrices ⋮ Limit points of subsequences ⋮ Characterizations of the ideal core ⋮ Category theoretical view of I-cluster and I-limit points of subsequences ⋮ More on ideal limit points ⋮ Some new insights into ideal convergence and subsequences

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