A Note on convergence of double sequences in a topological space

zbMath1474.54025arXiv1609.00571MaRDI QIDQ4987625

Rahul Mondal, Amar Kumar Banerjee

Publication date: 3 May 2021

Full work available at URL: https://arxiv.org/abs/1609.00571

zbMATH Keywords

\(I\)-convergencedouble sequence\(I\)-cluster point\(I\)-limit point\(d\)-limit space\(I\)-sequential compactness

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Ideal and statistical convergence (40A35)

Related Items (4)

ON ROUGH $I^*$ AND $I^K$-CONVERGENCE OF SEQUENCES IN NORMED LINEAR SPACES ⋮ Strong $I^K$-Convergence in Probabilistic Metric Spaces ⋮ On $I$ and $I^*$-Cauchy conditions in $C^*$-algebra valued metric spaces ⋮ I-divergence and I∗-divergence in cone metric spaces

Cites Work

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• On \({\mathcal I}\)-Cauchy sequences
• Some types of convergence and related Baire systems
• \(\mathcal I\)-convergence
• I and I*-convergence of double sequences
• Sur la convergence statistique

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