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The point of continuity property, neighbourhood assignments and filter convergences

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Publication:2915370
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DOI10.4064/fm218-3-2zbMath1255.54006OpenAlexW2000996911MaRDI QIDQ2915370

Ahmed Bouziad

Publication date: 17 September 2012

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/fm218-3-2


zbMATH Keywords

filter convergenceseparately continuous functionpoint of continuity propertythe first Baire class\(\omega\)-diagonalizable by \(\mathcal{F}\)-universal setsfragmentable functionweakly separated function


Mathematics Subject Classification ID

Descriptive set theory (03E15) Weak and generalized continuity (54C08) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Classification of real functions; Baire classification of sets and functions (26A21)


Related Items (4)

Statistical convergence and measure convergence generated by a single statistical measure ⋮ $\omega $-diagonalizability of $F_\sigma $ filters ⋮ Unsymmetric \(T_0\)-quasi-metrics ⋮ A new cardinal function on topological spaces






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