On the Denjoy rank, the Kechris-Woodin rank and the Zalcwasser rank

DOI10.1090/S0002-9947-97-01767-4zbMath0871.04002OpenAlexW1580091146MaRDI QIDQ4337961

Haseo Ki

Publication date: 27 May 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-97-01767-4

zbMATH Keywords

Fourier seriesdescriptive set theoryZalcwasser rankDenjoy rankKechris-Woodin rank

Mathematics Subject Classification ID

Descriptive set theory (03E15) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Classification of real functions; Baire classification of sets and functions (26A21)

Related Items (2)

A LIGHTFACE ANALYSIS OF THE DIFFERENTIABILITY RANK ⋮ Computable structures and operations on the space of continuous functions

Cites Work

• Descriptive set theory
• Three ordinal ranks for the set of differentiable functions
• Differentiation of real functions
• Ranks of differentiable functions
• The Set of Continuous Functions with the Everywhere Convergent Fourier Series
• The Kechris-Woodin Rank is Finer Than the Zalcwasser Rank
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