The restricted content and the \(d\)-dimensional Analyst's travelling salesman theorem for general sets

DOI10.1016/j.aim.2022.108189zbMath1503.28006OpenAlexW4205513163WikidataQ113880994 ScholiaQ113880994MaRDI QIDQ2074816

Matthew R. Hyde

Publication date: 11 February 2022

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

Full work available at URL: https://doi.org/10.1016/j.aim.2022.108189

zbMATH Keywords

rectifiabilityHausdorff contentbeta numberstravelling salesman theorem

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Length, area, volume, other geometric measure theory (28A75) Hausdorff and packing measures (28A78)

Related Items

Subsets of rectifiable curves in Banach spaces. I: Sharp exponents in traveling salesman theorems, Subsets of rectifiable curves in Banach spaces. II: Universal estimates for almost flat arcs, A \(d\)-dimensional analyst's travelling salesman theorem for subsets of Hilbert space, Identifying 1-rectifiable measures in Carnot groups

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