Unrectifiable 1-sets with moderate essential flatness satisfy Besicovitch's \(\frac 12\)-conjecture

DOI10.1006/aima.1999.1859zbMath0946.28001OpenAlexW2073644378WikidataQ123240807 ScholiaQ123240807MaRDI QIDQ1971624

Hany M. Farag

Publication date: 13 July 2000

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1999.1859

zbMATH Keywords

Besicovitch's \(\frac 12\)-conjectureunrectifiable sets

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Fractals (28A80)

Related Items (4)

Generalized rectifiability of measures and the identification problem ⋮ The weak lower density condition and uniform rectifiability ⋮ A Marstrand theorem for measures with polytope density ⋮ On the \(\frac 12\)-problem of Besicovitch: quasi-arcs do not contain sharp saw-teeth

Cites Work

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• Geometry of measures in \(R^ n:\) Distribution, rectifiability, and densities
• On the \(\frac 12\)-problem of Besicovitch: quasi-arcs do not contain sharp saw-teeth
• Rectifiable sets and the traveling salesman problem
• On Besicovitch's ½-Problem
• Density Ratios and (/phi, 1) Rectifiability in n-Space
• The φ Rectifiable Subsets of the Plane
• On the fundamental geometrical properties of linearly measurable plane sets of points. II

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