Most Darboux Baire 1 functions map big sets onto small sets

DOI10.1007/BF01994059zbMath0525.26004MaRDI QIDQ594219

Jack G. Ceder, Gy. Petruska

Publication date: 1983

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

zbMATH Keywords

residual setbounded derivativesbounded approximately continuous functionsDarboux Baire 1 functions

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 (4)

On a special class of Darboux-Baire-1 functions ⋮ Some typical results on bounded Baire 1 functions ⋮ Derivatives take every value on the set of approximate continuity points ⋮ Some further typical results on bounded Baire one functions

Cites Work

• Unnamed Item
• Differentiation of real functions
• On typical bounded darboux baire one functions
• Baire 1 functions, approximately continuous functions and derivatives

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