About porosity of some Świątkowski functions in the space of quasi-continuous functions

DOI10.2989/16073606.2019.1671525zbMath1505.54023OpenAlexW2982819376MaRDI QIDQ5152059

Gertruda Ivanova, Aleksandra Karasińska

Publication date: 18 February 2021

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

Full work available at URL: https://doi.org/10.2989/16073606.2019.1671525

zbMATH Keywords

quasi-continuityporosityBaire propertyDarboux propertystrong Świątkowski property

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Weak and generalized continuity (54C08) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Singular functions, Cantor functions, functions with other special properties (26A30) Real-valued functions in general topology (54C30)

Related Items (3)

On density and \(\sigma\)-porosity in some families of Darboux functions ⋮ Around the Świątkowski-type conditions ⋮ Comparison of families of \(\mathcal{S} \)-continuous functions

Cites Work

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• Products of Świątkowski and quasi-continuous functions
• On \(\sigma\)-porous sets and Borel sets
• Real functions
• Porosity and \(\sigma\)-porosity
• Sums and products of quasi-continuous functions
• On \(\sigma\)-porous sets in abstract spaces
• Products of Internally Quasi-Continuous Functions
• Porous subsets in the space of functions having the Baire property
• Comparison of some families of real functions in porosity terms
• Types of Functions

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