The Kechris-Woodin Rank is Finer Than the Zalcwasser Rank

DOI10.2307/2155047zbMath0845.04004OpenAlexW4205893154MaRDI QIDQ4875834

Haseo Ki

Publication date: 24 April 1996

Full work available at URL: https://doi.org/10.2307/2155047

zbMATH Keywords

Fourier seriesdifferentiable functionuniformly convergent seriesZalcwasser rankKechris-Woodin rankfailure of continuity of the derivative

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)

On the Denjoy rank, the Kechris-Woodin rank and the Zalcwasser rank ⋮ Computable structures and operations on the space of continuous functions

Cites Work

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• 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

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