On the uniform limits of sequences of Świątkowski functions

DOI10.1007/S10986-017-9359-YzbMath1370.26013OpenAlexW2615547025MaRDI QIDQ2401243

Julia Wódka

Publication date: 31 August 2017

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-017-9359-y

zbMATH Keywords

algebrabilityŚwiątkowski functionuniform limits

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) Real-valued functions in general topology (54C30) Classification of real functions; Baire classification of sets and functions (26A21)

Related Items (2)

Around the Świątkowski-type conditions ⋮ On algebraic properties of the family of weakly Świątkowski functions

Cites Work

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• Subsets of some families of real functions and their algebrability
• Algebrability within the class of Baire 1 functions
• On the sums and the products of Darboux cliquish functions
• Sums and products of quasi-continuous functions
• Nonseparable spaceability and strong algebrability of sets of continuous singular functions
• Products of Świa̧tkowski functions
• Lineability and spaceability of sets of functions on $\mathbb {R}$
• Strong algebrability of sets of sequences and functions
• Comparison of some families of real functions in porosity terms

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