Graphs of convex functions are \(\sigma\)1-straight

DOI10.1216/rmjm/1181069928zbMath1042.28003OpenAlexW2020959793MaRDI QIDQ1430420

Richard Delaware

Publication date: 27 May 2004

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181069928

zbMATH Keywords

convex functionHausdorff measurestraight sets

Mathematics Subject Classification ID

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

Related Items (1)

Every set of finite Hausdorff measure is a countable union of sets whose Hausdorff measure and content coincide

Cites Work

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• Sets whose Hausdorff measure equals method I outer measure.
• Measure preserving continuous straightenings of fractional-dimensional sets
• Graphs of functions, regular sets and \(s\)-straight sets
• Every set of finite Hausdorff measure is a countable union of sets whose Hausdorff measure and content coincide

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