Universal Functions and Generalized Classes of Functions

DOI10.2307/2046036zbMath0646.26009OpenAlexW4236366063MaRDI QIDQ3789814

Jacek Cichoń, Michał Morayne

Publication date: 1988

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2046036

zbMATH Keywords

universal functionsBaire hierarchy of functionsgeneralized classes of functions

Mathematics Subject Classification ID

Descriptive set theory (03E15) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Classification of real functions; Baire classification of sets and functions (26A21)

Related Items (10)

Algebraic structures in the sets of surjective functions ⋮ Generating Borel measurable mappings with continuous mappings ⋮ Covering functions by countably many functions from some families ⋮ Covering an additive function by \(< \mathfrak c\)-many continuous functions ⋮ Different notions of Sierpiński-Zygmund functions ⋮ Decomposing Borel sets and functions and the structure of Baire class 1 functions ⋮ Decomposing Borel functions and structure at finite levels of the Baire hierarchy ⋮ Generating continuous mappings with Lipschitz mappings ⋮ Decomposing Euclidean space with a small number of smooth sets ⋮ On Ohta-Sakai's properties of a topological space

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