Darboux-like functions within the classes of Baire one, Baire two, and additive functions

DOI10.1016/S0166-8641(98)00169-2zbMath0951.26003WikidataQ126819540 ScholiaQ126819540MaRDI QIDQ1567314

Krzysztof Chris Ciesielski, J. M. Jastrzebski

Publication date: 4 September 2000

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

zbMATH Keywords

Darboux functionextendable functionalmost continuous functionadditive functionBaire class oneBaire class two

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) Continuity and differentiation questions (26B05) Real-valued functions in general topology (54C30) Classification of real functions; Baire classification of sets and functions (26A21)

Related Items (20)

On functions whose graph is a Hamel basis ⋮ On Additive Almost Continuous Functions Under ⋮ Cardinal coefficients related to surjectivity, Darboux, and Sierpiński-Zygmund maps ⋮ Examples of Sierpiński-Zygmund maps in the class of Darboux-like functions ⋮ On some properties of Hamel bases and their applications to Marczewski measurable functions ⋮ Algebrability of some families of Darboux-like functions ⋮ Lineability, spaceability, and additivity cardinals for Darboux-like functions ⋮ Darboux functions with nowhere dense graphs ⋮ Algebras of measurable extendable functions of maximal cardinality ⋮ \( \mathfrak{c} \)-lineability: a general method and its application to Darboux-like maps ⋮ Maximal lineability of several subclasses of Darboux-like maps on \(\mathbb{R}\) ⋮ Some subclasses of the real-valued honorary Baire two functions on \(\mathbb{R}^n\) ⋮ Topological dimension and sums of connectivity functions ⋮ Unnamed Item ⋮ Additivity coefficients for all classes in the algebra of Darboux-like maps on \(\mathbb{R}\) ⋮ On Gibson functions with connected graphs ⋮ A century of Sierpiński-Zygmund functions ⋮ Collections of Darboux-like, Baire one functions of two variables ⋮ Maximal lineability of the classes of functions in the algebra of Darboux-like maps that are Darboux but not connectivity ⋮ Sum of Sierpiński-Zygmund and Darboux like functions

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