s-Sequence-Covering Mappings on Metric Spaces

DOI10.4208/JMS.V55N1.22.04zbMath1499.54128OpenAlexW4206923905MaRDI QIDQ5864224

Li Liu, Xian Geng Zhou

Publication date: 3 June 2022

Published in: Journal of Mathematical Study (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/jms.v55n1.22.04

zbMATH Keywords

statistical convergencecompact mappings\(s\)-sequence-covering mappings1-\(s\)-sequence-covering mappings

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Sequential spaces (54D55) Weak and generalized continuity (54C08) Convergence and divergence of series and sequences (40A05) Special maps on metric spaces (54E40) Quotient spaces, decompositions in general topology (54B15) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Foundations: limits and generalizations, elementary topology of the line (26A03)

Cites Work

• Generalized metric spaces and mappings. Translated from the Chinese by the first author
• More about the kernel convergence and the ideal convergence
• Statistical convergence in topology
• Weak statistical convergence and weak filter convergence for unbounded sequences
• Measure theory of statistical convergence
• Lacunary statistical convergence
• Generalized statistical convergence and convergence free spaces
• \(\mathcal I\)-convergence
• A characterization of Banach spaces with separable duals via weak statistical convergence
• Sequence-covering maps on generalized metric spaces
• On Strong Matrix Summability with Respect to a Modulus and Statistical Convergence
• Statistical convergence in a locally convex space
• On statistically sequentially covering maps
• On statistically sequentially quotient maps
• Spaces in which sequences suffice
• Sequence-covering and countably bi-quotient mappings
• Sur la convergence statistique
• Sequence-covering maps of metric spaces
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