Some typical results on bounded Baire 1 functions

DOI10.1007/BF01958029zbMath0542.26004OpenAlexW2067177589MaRDI QIDQ795188

Andrew M. Bruckner, Gy. Petruska

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf01958029

zbMATH Keywords

Banach spacesrangelevel setsbounded derivativesbounded approximately continuous functionsbounded Baire 1 functionsbounded Daboux Baire 1 functionsfinite Borel measureset of continuity points

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 (9)

Dynamics of typical Baire-1 functions on the interval ⋮ Dynamics of Baire-1 functions on the interval ⋮ Distinct differentiable functions may share the same Clarke subdifferential at all points ⋮ On chain recurrent sets of typical bounded Baire one functions ⋮ Hausdorff Measure and Level Sets of Typical Continuous Mappings in Euclidean Spaces ⋮ Dynamics of typical Baire-1 functions on a compact \({n}\)-manifold ⋮ On the sets of fixed points of bounded Baire one functions ⋮ Derivatives take every value on the set of approximate continuity points ⋮ Some further typical results on bounded Baire one functions

Cites Work

• Most Darboux Baire 1 functions map big sets onto small sets
• Differentiation of real functions
• Sur La Premiere Derivee

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