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Continuous functions need not have \(\sigma\)-porous graphs

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Publication:1085288
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zbMath0607.26005MaRDI QIDQ1085288

James Foran

Publication date: 1986

Published in: Real Analysis Exchange (Search for Journal in Brave)


zbMATH Keywords

continuous functions\(\sigma \)-porous graphsnon-\(\sigma \)-porous subset


Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Length, area, volume, other geometric measure theory (28A75)


Related Items (4)

On \(\sigma\)-porous sets and Borel sets ⋮ Porous Sets and Convergence of Fourier Series ⋮ How Porous is the Graph of Brownian Motion? ⋮ Constructing Continuous Functions




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