Large sets with small injective projections

DOI10.5186/aasfm.2021.4622zbMath1478.28004arXiv1906.06288OpenAlexW2952505404WikidataQ114019216 ScholiaQ114019216MaRDI QIDQ4958731

Tamás Keleti, Frank Coen, Dylan A. King, Jennifer Zhu, Nate Gillman

Publication date: 15 September 2021

Published in: Annales Fennici Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.06288

zbMATH Keywords

Hausdorff dimensionLebesgue measureunion of linesinjective projectionsunion of disjoint planes

Mathematics Subject Classification ID

Hausdorff and packing measures (28A78)

Cites Work

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• Hausdorff and packing dimension of fibers and graphs of prevalent continuous maps
• Exceptional sets of projections, unions of \(k\)-planes and associated transforms
• Small unions of affine subspaces and skeletons via Baire category
• Hausdorff dimension of unions of affine subspaces and of Furstenberg-type sets
• Existence of positive solution for Kirchhoff type problem with critical discontinuous nonlinearity

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