Sets whose Hausdorff measure equals method I outer measure.

DOI10.14321/REALANALEXCH.27.2.0535zbMath1044.28003OpenAlexW1525563491MaRDI QIDQ595807

Richard Delaware

Publication date: 6 August 2004

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

Full work available at URL: https://doi.org/10.14321/realanalexch.27.2.0535

zbMATH Keywords

Hausdorff measureself-similar setsmethod I outer measureperfect setsstraight sets

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Hausdorff and packing measures (28A78)

Related Items (6)

Every set of finite Hausdorff measure is a countable union of sets whose Hausdorff measure and content coincide ⋮ Some results on the upper convex densities for the self-similar sets ⋮ Elementary density bounds for self-similar sets and application ⋮ Graphs of convex functions are \(\sigma\)1-straight ⋮ Furstenberg sets for a fractal set of directions ⋮ Connecting Hausdorff measure and upper convex density or \(H^s\)-a.e. covering

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