Maximal classes for families of lower and upper semicontinuous functions with a closed graph

DOI10.1007/S13398-016-0326-YzbMath1375.26005OpenAlexW2522521661WikidataQ59610708 ScholiaQ59610708MaRDI QIDQ1674096

Jolanta Kosman

Publication date: 1 November 2017

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-016-0326-y

zbMATH Keywords

lower semicontinuous functionsupper semicontinuous functionssum of functionsfunctions with a closed graph

Mathematics Subject Classification ID

Weak and generalized continuity (54C08) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15)

Cites Work

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• \(P\)-spaces and an unconditional closed graph theorem
• Maximal classes for lower and upper semicontinuous strong Świątkowski functions
• The maximal class with respect to maximums for the family of upper semicontinuous strong Świca¸tkowski functions
• MAXIMAL CLASSES FOR THE FAMILY OF QUASI-CONTINUOUS FUNCTIONS WITH CLOSED GRAPH
• On the set of points of discontinuity for functions with closed graphs
• A note on the functions with closed graphs

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