On Darboux functions in honorary Baire class two

DOI10.1007/BF01903545zbMath0748.26003MaRDI QIDQ1187290

Imrich Pokorný

Publication date: 28 June 1992

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

closednessmaximal additive classpoints of continuityselective derivativesfamily of Darboux functions in honorary Baire class twopointwise discontinuous

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Classification of real functions; Baire classification of sets and functions (26A21)

Related Items (2)

Some subclasses of the real-valued honorary Baire two functions on \(\mathbb{R}^n\) ⋮ On the sums and the products of Darboux cliquish functions

Cites Work

• Bi-selective derivatives are of honorary Baire class two
• Differentiation of real functions
• Boundary functions for functions defined in a disk
• Selective derivates
• On the Baire class of selective derivatives
• Über Darbouxsche und stetige Funktionen
• Bi-Arc Boundary Functions
• On a problem concerning uniform ;imits of Darboux functions
• Unnamed Item

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