Ranks of differentiable functions

DOI10.1112/S0025579300011244zbMath0618.03024MaRDI QIDQ3754612

W. Hugh Woodin, Alexander S. Kechris

Publication date: 1986

Published in: Mathematika (Search for Journal in Brave)

zbMATH Keywords

differentiable functionrank functionwellfounded treescomplexity of derivationsCantor-Bendixson type analysiscoanalytic norm

Mathematics Subject Classification ID

Descriptive set theory (03E15) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24)

Related Items (10)

A LIGHTFACE ANALYSIS OF THE DIFFERENTIABILITY RANK ⋮ Genericity and amalgamation of classes of Banach spaces ⋮ Revisiting the fundamental theorem of calculus ⋮ On the Denjoy rank, the Kechris-Woodin rank and the Zalcwasser rank ⋮ Three ordinal ranks for the set of differentiable functions ⋮ The complexity of antidifferentiation ⋮ The Kechris-Woodin Rank is Finer Than the Zalcwasser Rank ⋮ Computable structures and operations on the space of continuous functions ⋮ An effective analysis of the Denjoy rank ⋮ Simply connected compact subsets of the plane

Cites Work

• The set of continuous nowhere differentiable functions
• The Set of Nondifferentiability of a Continuous Function

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