Comparison of families of \(\mathcal{S} \)-continuous functions

DOI10.1016/J.TOPOL.2021.107778zbMath1477.54014OpenAlexW3185897970MaRDI QIDQ2049893

Renata Wiertelak, Gertruda Ivanova

Publication date: 27 August 2021

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2021.107778

zbMATH Keywords

functions spaces\( \mathcal{S} \)-density topologies\( \mathcal{S}\)-continuous functionsdensity type topologiesstrongly porous set

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) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Real-valued functions in general topology (54C30)

Cites Work

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• On J-Continuous Functions
• Porous subsets in the space of functions having the Baire property
• About porosity of some Świątkowski functions in the space of quasi-continuous functions
• Comparison of some families of real functions in porosity terms
• Types of Functions

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