On the \(\frac 12\)-problem of Besicovitch: quasi-arcs do not contain sharp saw-teeth

DOI10.4171/RMI/310zbMath1012.28003OpenAlexW2037152445MaRDI QIDQ699247

Hany M. Farag

Publication date: 24 November 2002

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmi/1045578692

zbMATH Keywords

densityHausdorff measurerectifiable set1/2-problem of Besicovitchquasi arcunrectifiable set

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Length, area, volume, other geometric measure theory (28A75) Integration of real functions of several variables: length, area, volume (26B15) Hausdorff and packing measures (28A78)

Related Items (3)

Generalized rectifiability of measures and the identification problem ⋮ The weak lower density condition and uniform rectifiability ⋮ Unrectifiable 1-sets with moderate essential flatness satisfy Besicovitch's \(\frac 12\)-conjecture

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Geometry of measures in \(R^ n:\) Distribution, rectifiability, and densities
• Rectifiable sets and the traveling salesman problem
• Unrectifiable 1-sets with moderate essential flatness satisfy Besicovitch's \(\frac 12\)-conjecture
• 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

This page was built for publication: On the \(\frac 12\)-problem of Besicovitch: quasi-arcs do not contain sharp saw-teeth