Haar ambivalent sets in the space of continuous functions

DOI10.1007/s10474-009-9054-5zbMath1224.26020OpenAlexW2014170992MaRDI QIDQ624229

Udayan B. Darji, Susan Calcote White

Publication date: 8 February 2011

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

Full work available at URL: https://doi.org/10.1007/s10474-009-9054-5

zbMATH Keywords

Haar ambivalent setinfinite derivativetypical continuous function

Mathematics Subject Classification ID

Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (2)

On Haar meager sets ⋮ Bruckner–Garg-Type Results with Respect to Haar Null Sets inC[0, 1]

Cites Work

• Unnamed Item
• Porous sets that are Haar null, and nowhere approximately differentiable functions
• On differentiability properties of typical continuous functions and Haar null sets
• Prevalence: a translation-invariant “almost every” on infinite-dimensional spaces
• Examples of non-shy sets
• Examples of non-shy sets
• The Prevalence of Continuous Nowhere Differentiable Functions
• Prevalence

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