Sequential definitions of compactness

DOI10.1016/j.aml.2007.07.011zbMath1145.54001OpenAlexW2029012134MaRDI QIDQ926772

Hüseyin Çakalli

Publication date: 21 May 2008

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2007.07.011

zbMATH Keywords

topological groupsummabilitystatistical convergenceBanach limit(regular) method of sequential convergence\(G\)-sequentially compact (countable compact, closed, continuous)

Mathematics Subject Classification ID

Compactness (54D30) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Summability methods on groups, semigroups, etc. (43A55)

Related Items (34)

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Cites Work

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• A criterion for \(A\)-statistical convergence
• Lacunary statistical convergence
• On \(A\)-continuity of real functions
• Lacunary statistical convergence in topological groups
• Sequential definitions of continuity for real functions.
• ON STATISTICAL CONVERGENCE
• Statistical convergence in a locally convex space
• Statistical Cluster Points of Sequences in Finite Dimensional Spaces
• Sur la convergence statistique

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